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P176792 N?O13 AGARD-R-583. :- I
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ADVISORY GROUP FOR AEROSPACE RESEARCH 81 DEVELOPMENT
I 7 RUE ANCELLE 92 NEUILLY-SUR-SEINE FRANCE
AGARD REPORT No. 583 on
A Comparison of Methods Used in Lifting Surface Theory
D. L. Woodcock
Supplement to the MANUAL ON AEROELASTICITY
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AGARD REPORT No. 583 on
A Comparison of Methods Used in Lifting Surface Theory
bY To:
i D. L. Woodcock
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DISTRIBUTION AND AVAILABILITY ON BACK COVER
F N O R T H A T L A N T I C TREATY O R G A N I Z A T I O N - 6 - I
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AGARD Report No.583 I
NORTH ATLANTIC TREATY ORGANIZATION
ADVISORY GROUP FOR AEROSPACE RESEARCH AND DEVELOPMENT
(ORGANISATION DU TRAITE DE L’ATLANTIQUE NORD)
A COMPARISON OF METHODS USED IN LIFTING SURFACE THEORY
D.L.Woodcock
Royal Aircraft Establishment Farnborough, Hampshire, UK
Supplement to the MANUAL ON AEROELASTICITY
PART VI
This Report has been sponsored by the Structures and Materials Panel of AGARD-NATO
THE MISSION OF AGARD
The mission of AGARD is to bring together the leading personalities of the NATO nations in the fields of science and technology relating to aerospace for the following purposes:
- Recommending effective ways for the member nations to use their research and development capabilities for the common benefit of the NATO community;
- Providing scientific and technical advice and assistance to the North Atlantic Military Committee in the field of aerospace research and development;
- Continuously stimulating advances in the aerospace sciences relevant to strengthening the common defence posture;
- Improving the co-operation among member nations in aerospace research and development;
- Exchanging of scientific and technical information;
- Providing assistance to member nations for the purpose of increasing their scientific and technical potential;
- Rendering scientific and technical assistance, as requested, to other NATO bodies and to member nations in connection with research and development problems in the aerospace field.
The highest authority within AGARD is the National Delegates Board consisting of officially appointed senior representatives from each Member Nation. The mission of AGARD is carried out through the Panels which are composed of experts appointed by the National Delegates, the Consultant and Exchange Program and the Aerospace Applications Studies Program. The results of AGARD work are reported to the Member Nations and the NATO Authorities through the AGARD series of publications of which this is one.
Participation in AGARD activities is by invitation only and is normally limited to citizens of the NATO nations.
Published June 1971
533.69: 533.6.01 3.13
Printed by Technical Editing and Reproduction Ltd Harford House, 7-9 Charlotte St, London. WIP 1HD
i i
FOREWORD
This report was originally planned as part of Volume VI of the AGARD loose-leaf Manual on Aeroelasticity, which was started in August 1959 and contains some 47 different articles.
Articles in this series are now published as separate AGARD reports. To ensure that the new reader of each report is aware of the wide scope of work on this subject covered by the Structures and Materials Panel of AGARD, each report will contain a full list of all previously printed articles.
B.P.Mullins Chairman, Editorial Committee, AGARD Structures and Materials Panel
iii
SUMMARY
Calculated values, obtained by linearised potential flow theory, of the air forces on oscillating thin wings are presented for a selection of planforms, modes of oscillation, fre- quencies and airspeeds. Results from a number of different computer programs and methods are compared in the three regimes: subsonic, sonic, and supersonic. No attempt is made, however, t o assess which programs are the most accurate. A survey of the different methods is included indicating their main features and how they differ from each other. The range of parameter values covered was
Aspect ratio 1 --* 4, leading edge sweepback 0 + 60"
Mach number 0 + 2 , reduced frequency 0 + 4
Modes - rigid, parabolic deformation, control surface rotation.
This paper is the outcome of a research project of the AGARD Structures and Materials Panel.
iv
PREFACE
Whereas the first five volumes of the Manual on Aeroelasticity were devoted to the description of the theories used for predicting aeroelastic phenomena and to the basic lessons derived from their comparison with experimental data, the sixth (and last) volume aims at being a practical working tool for the designers faced with these major problems; this is why the most complete numerical tables on two-dimensional aerodynamic forces now existing are td be found in its first part.
As far as the three-dimensional field is concerned. it is beyond present possibilities to give in a Manual the numerical values concerning the potential multiplicity of wing shapes. A description of computation methods and comments upon them are essentially what the reader expects to find. A few standard shapes only are to be kept in mind, as examples, in order to illustrate the application of and comparisons between methods. In this way, the numerical values most likely to be encountered are provided for known cases and enable the designer to test the programme he intends to adopt prior to undertaking studies on a new shape.
Such are the considerations which have guided the AGARD Structures and Materials Panel in the preparation of this second part of Volume VI. After discussing the matter and reaching agreement as t o the choice of a number of aerofoils, the countries which were able to devote efforts t o this task distributed the work among themselves; each of them, by means of its own methods, calculated the aerodynamic coefficients for the list which had been drawn up. This joint effort is presented by Mr D.L.Woodcock from the Royal Aircraft Establishment, with notable clarity and objectiveness.
It is t o be hoped that this very important task will achieve its aim, which is to assist NATO engineers in predicting with greater accuracy the vibratory behaviour in flight of the new aerospace structures, and in contending more efficiently with undesirable vibrations!
Alors que les cinq premiers volumes du Manual d’ACroClasticitC exposaient les thCories utilisCes pour la prCvision des phknombnes aCroClastiques et les ettseignements fondamentaux tirCs de leur confrontation avec l’expkrience, le sixibme (et dernier) volume veut Ctre un instrument de travail pratique pour les ingenieurs places, dans les Bureaux d’Etudes, en face de ces problkmes essentiels. C’est ainsi qu’on a pu trouver, dans sa premibre partie, les tables numkriques les plus complCtes existant a l’epoque sur les forces akrodynamiques bidimensionnelles.
Lorsqu’il s’agit de tridimensionnel, il n’est plus possible de faire figurer dans un Manuel les valeurs numCriques concernant la multitude de formes d’ailes imaginable. Ce sont essentiellement les mCthodes de calcul que le lecteur s’attend a trouver exposCes et commentCes. Seules, quelques formes-types sont i retenir i titre d’exemples, pour illustrer I’application des mCthodes et leur comparaison. Les valeurs numkriques les plus probables sont ainsi degagCes pour des cas connus et permettent a chacun, avant d’entreprendre I’Ctude d’une forme nouvelle, de tester le programme qu’il se propose d’utiliser.
Telles sont les idees qui ont guide le Groupe de Travail Structures et MatCriaux de I’AGARD dans la conception de cette 2 h e partie du Volume VI. AprBs s’6tre concertCs et mis d’accord sur le choix d’un certain nombre de formes de surfaces portantes, les pays qui pouvaient s’y consacrer se sont rCpartis la tiche en calculant, chacun avec ses mCthodes propres, les coefficients akrodynamiques dont la liste avait CtC Ctablie. Cette oeuvre com- mune est prCsentCe par M. D.L.Woodcock du Royal Aircraft Establishment, avec une clartC et une objectivitk en tous points dignes d’Cloge.
Puisse ce trbs important travail atteindre son but en aidant les Constructeurs de I’OTAN A prevoir avec plus de prCcision le comportement vibratoire en vol de nouvelles structures aCrospatiales et B mieux combattre les vibrations indksirables!
R.MAZET Editeur GCnCral
V
CONTENTS
FOREWORD
SUMMARY
PREFACE
LIST OF TABLES
LIST OF FIGURES
INTRODUCTION
1. SUBSONIC COLLOCATION METHODS 1.1 General 1.2 The Kernel Function 1.3 Loading Functions 1.4 Collocation Points 1.5 Planform Rounding 1.6 Chordwise Integration 1.7 Spanwise Integration 1.8 Treatment of Control Surfaces, 1.9 Summary Table of Subsonic Collocation ..-:thods
2. THE ALBANO-RODDEN SUBSONIC DOUBLET LATTICE METHOD
3. SONIC COLLOCATION METHODS
4. SUPERSONIC BOX INTEGRATION METHODS 4.1 General 4.2 Mesh and Influence Coefficients 4.3 Diaphragm 4.4 Summary Table of Supersonic Box Integration Methods
5. SUPERSONIC BOX COLLOCATION METHODS 5.1 General 5.2 Irregular Cells
6. SUPERSONIC COLLOCATION METHODS 6.1 General 6.2 Loading Functions 6.3 Collocation Points 6.4 Chordwise and Spanwise Integration 6.5 Summary Table for Supersonic Collocation Methods
7. PREFACE TO TABLES AND FIGURES 7.1 Scope 7.2 Definition of Generalised Force Coefficients 7.3 Layout of Tables 7.4 Index to Minor Details of Calculations 7.5 Pressure Distribution
REFERENCES
TABLES 1 - 185
FIGURES 1 - 54
CONTENTS OF MANUAL ON AEROELASTICITY
vii
Page
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V
viii
viii
1
1 1 2. 3 4 5 5 6 7 8
9
9 I
9 9
10 10 11
11 11 12
12. 12 13 13 14 14
15 15 15 15 16 17
18
22
124
139
LIST OF TABLES
Table 1
Table 2
Table 3
Tables 4 - 15
Tables 16-27
Tables 28-36
Tables 37-45
Tables 46- 57
Tables 58-69
Tables 70 - 89
Tables 90- 109
Tables 110-129
30-149
50-165
66-181
Tables 182 - 184
Table 185
Table 186
Tables
Tables
Tables
Figs. 1 - 5
Figs.6 - 8
Figs. 9 - 22
Figs.23-32
Figs. 33 - 42
Figs.43 - 46
Figs.47 - 50
Figs.5 1 - 52
Figs. 53 - 54
Planform details
Subsonic cases
Supersonic cases
Planform 1. Symmetric modes
Planform 1. Antisymmetric modes
Planform 2. Symmetric modes
Planform 2. Antisymmetric modes
Planform 3. Symmetric modes
Planform 3. Antisymmetric modes
Planform 4. Symmetric modes
Planform 4. Antisymmetric modes
Planform 5. Symmetric modes
Planform 5. Antisymmetric modes
Planform 6. Symmetric modes
Planform 6. Antisymmetric modes
Planform 2. Various flap spans
Pressure distribution on elliptic wing
Cross references of file numbers and source references
LIST OF FIGURES
Planforms
Relative areas of wing, diaphragm etc. for supersonic planforms
Curves of Q12 , QY2 ,against k for each planform - Force in heave due to pitch
Curves of Qi2 , QY2 against M for each planform - Force in heave due t o pitch
Curves of Qb, , QY3 against k for planforms 1, 3, 4, 5 and 6 - Force in span- wise bending mode (yz) due to chordwise bending mode (x2)
Curves of Q;, , QYs against k for planforms 5 and 6 - Force in chordwise bending mode (x2 ) due to flap rotation
Curves of Q;, , QYs against k for planforms 5 and 6 - Direct control surface coefficients
Curves of Q;, , QY, against flap span for planform 2 - Force in pitch due t o flap rotation
Curves of Qi3, QY3 against k for planform 2 - Direct control surface coefficients
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25 - 4 1
4 2 - 47
47 - 61
63 - 65
65 - 72
74 - 77
77 - 87
8 7 - 92
93- 102
102 - 107
107 - 114
115 - 118
119 - 121
122
123
124 - 125
125
126 - 129
129 - 131
132 - 134
134- 135
135 - 136
136
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I
A COMPARISON OF METHODS USED IN LIFTING SURFACE THEORY
D.L.Woodcock
INTRODUCTION
This chapter is the outcome of a joint research project organised by the AGARD Structures and Materials Panel. The purpose of the project was two-fold:-
(a)
(b)
to establish the relative merits of different methods of calculating the air forces on oscillating wings, and
to provide a standard which can be used in the future for comparison or test purposes.
To achieve this a scheme of cases to be considered was drawn up by a small working party (comprising Professor H.Bergh, M. R.Dat, Dr B.Laschka and Mr D.L.Woodcock), and approved by the Panel. This scheme covered variation of the parameters:-
Planform geometry Mach number (M) Reduced frequency (k) Mode of oscillation.
The last of these includes rigid body modes, control surface modes, and other modes of deformation - both symmetric and antisymmetric. The members of AGARD were invited to contribute t o the project by making calcu- lations for the chosen cases using the methods in use in their country. Contributions came from six countries using nearly thirty different methods and comprising nearly eight hundred calculations*. In general the generalised force coefficients (see Section 7.2) were determined, though one or two calculations of pressure distributions were also made.
When comparing the different calculated values it is important t o know the possible causes of any differences in the values. Such differences may be due to differences in:
(a) The method
(b) The method parameter values used (e.g. number of collocation points)
(c) The computer and computer program.
It is hoped, and assumed, that those due to (c) are always negligible. To cover the causes (a), the tabulated results have been preceded in Sections 1 t o 6 by comparative descriptions of the various methods. These describe the essentials, and particular features, of each method, and reference is also made t o the fullest available published description. The other possible causes are dealt with by a comprehensive system of annotation to the tables which is described in Section 7.
1. SUBSONIC COLLOCATION METHODS
1.1 General
These methods obtain approximate solutions of the integral equation, relating the complex upwash distribution Vw(x,y) eimt t o the load distribution pV2f e i w t , by collocation. This equation is considered in the form
* By calculation is meant the computation of the generalised air forces for one planform, at one Mach number and reduced frequency, with one set of modes (either symmetric or antisymmetric).
L
where
and either (A), E(x) = 1 ,
or (B), E(x) = exp (iwx/V) ,
1.2 The Kernel Function
The kernel function is given by
where I R, = , /xi + p2(y2 + z 2 )
R, = Jx2 + p2(y2 + z2 )
R = Jm and the latter integral can be taken in the form
exp {-iwu/Vl
i iR-x)/O2 + Y2)3‘2
MR--x)/$ exp {-iwu/v} u du +
(U2 + y2)’R
RX - My2 i o (MR - x) +
(1.8a)
( 1.8b)
3
ioMlyl + - ( 1 + - - y ) exp {- "p)
When the frequency is small we have the approximation (D),
where
R, = ,/W. These four forms for the kernel function, given by Equations (1.6) and (1.8a), (1.6) and (1.8b), ( 1.
and (1.9), are called (A), (B), (C) and (D) respectively. With the form (B) the approximation
where
7 = IUlYl
( 1 . 8 ~ )
(1.10)
) and (1 .8~)
(1.11)
(1.12)
has sometimes been used in the integral in (1.8b).
1.3 Loading Functions
finite number of unknowns: and then determining these unknowns by satisfying the equation at a finite number of points. This approximation takes the form
- The integral equation is solved by assuming an approximate representation of the loading, I , containing a
where
(1.13)
(1.14)
I 1) = y/s = -cos $I
and the h p ) , 4m) are chordwise and spanwise loading functions respectively. For the chordwise loading functions the following have been used:
1 (1.15)
4
hj")(t) = sin ( r - I)e = {polynomial of order ( r - 2) in cos e } x sin 0 ( r > 1) J
COS re + COS (r + sin 0
1 where Osf ) = (2r - l)n/(2n + 1) ,
and for the spanwise loading functions:
1 2 m C sin sin he , - (-)r sin Or . sin {(m + I )@}
(cos Or - cos 4) - -
(m + I ) m + 1 h=i ,@)(7)) =
nr - .. where Or = - ,
m + 1 I
(1.17)
I I
(1.18) I
(1.19) I
1.4 Collocation Points
Particular sets of collocation points = (tr,qs) that have been used include those given below. Other sets which were used only with one method are detailed in the tables. The values of x and y at the (r,s) point are denoted by xrs and y, .
Multhopp points {(M), or (MO) for m always odd, or (Me) for m always even}.
1 t?) = -cos ,g$N
where
where
where
vr as in Equation (1.23).
(1.22)
(1.23)
(1.24)
Uniform location {(U), (U,) or (U,)}
2r n + I
1 ( _ - - f,"' -
5
(1.25)
qr as in Equation (1.23).
1.5 Planform Rounding
For a wing with a kink at the centre section (i.e. a swept wing) it is necessary to use an approximate planform with the kink removed by rounding, since the loading functions are not adequate near a kink. Such rounding is either implicitly included in the procedure or done explicitly by one of the following methods.
0
(A) The planform is rounded between the collocation stations adjacent t o the centre section such that the actual values at the centre section (y = s7)(,+1)/2 = 0), xl(0) = 0 and c(0) = c, are replaced by
1 x l (o ) = 4 xl(s7)(m+3)/2)
(1.26)
That is, the leading and trailing edge at the centre section are each moved chordwise so that the chordwise distances between them and the corresponding points at the adjacent spanwise collocation stations is reduced by 1/6.
(B) The planform is rounded between y = *?(a) according to the formulae
(1.27)
where
( 1.28)
a is an integer, and the actual values of xl(0) and c(0) are 0 and c, respectively. This is a generalisation of (A).
(C) The planform is rounded between y = k? according to the formulae
X l ( 3 - Xl(Y) = q(Y)[x - 3X3 1
C(Y) - cG) = IC, - C(Y)} [A - 4h31 (1.29)
where
= 1 - l Y l / Y , - y is arbitrary, and the actual values of x(0)' and c(0) are 0 and c, respectively.
1.6 Chordwise Integration
The methods of chordwise integration used are as follows:
(A) For sections not too close to the collocation point the integral is evaluated in one piece using the Gaussian
,,
formula for the weight function d{( 1 - f ) / ( 1 + f ) } . Close to the collocation point the range of inte- gration is divided into two parts, one forward and one aft of the collocation point, though one of these parts disappears in some cases. Over each part the integral is evaluated by the Gaussian method with appropriate weight functions. Close to a collocation point is defined by the value of 11) - vSl . The limits used were
17) - qSl < 0.3/(ws/V) Danielli
< 0.1 Rowe .
(1.30)
(1.3 1)
6
(B) Low-order Gaussian integration formulae for appropriate weight functions are used over a number of intervals, the length of the intervals depending on the value of 1q - qsl and on the chordwise location of the interval relative to the collocation point, so that the length increases as one leaves the collocation point. At q = qs the integral is determined analytically.
(C) Apart from the section q = qs , where the analytic evaluation is used, the Gaussian integration formula for the weight function ,/{( 1 - t ) / ( 1 + ( ) I is used with n ordinates. That is, the number of ordinates is equal t o the number of chordwise loading functions.
(D) The first-order expansions in frequency of the chordwise integrals are determined by one of two numerical methods - one in the vicinity of the collocation point and the other farther afield. The integral can be expressed in terms of three complete elliptic integrals which are evaluated in the former case by an itera- tive method due to,Bartky and in the latter by expanding the integrand as a series and integrating term-by- term (see Reference M23).
1.7 Spanwise Integration
The methods of spanwise integration used are as follows:
(Mq) the Multhopp method (Reference 1, Section 6.3.1). This uses Zi integration stations .
where
- js yj = - s cos -
Z i + 1
- m = q(m + 1 ) - 1
(1.32) j = ] . . .E,
and q is unity or a positive even integer. If q is always unity we denote the method by the symbol (M); and the integration and spanwise collocation stations then coincide.
(Hq) the Hsu method (Reference 1, Section 6.4). This uses Zi integration stations
where
(2j - 1)n
2m - s cos - -
Yj -
iii = q(m + 1) 1 j = l . . . Z i , (1.33)
and q is a positive integer. If q is always unity we denote the method by the symbol (H).
(W) the Watkins method (Ref.2). The spanwise integral is evaluated in four parts over the fields
(ii)
(iii)
The integration over each of the regions (i), (ii) and (iv) is performed using the Gaussian formula (with possibly parts of the integrals determined analytically) appropriate to constant weight functions or weight functions conform- ing with the behaviour of the integrand at the wing tips. In the other region (iii), (q - qs)2 x the integrand is approximated by a Lagrange polynomial using evenly spaced points and the integral then evaluated analytically. Danielli used a polynomial of order 6 and Berman one of order 9.
The above methods only taken account of the dipole singularity I/(q - qS)* . To improve the numerical accuracy it is common practice to separate the lowest order logarithmic singularity - resulting from the term of order (q - qS)* log (q - qsl in the chordwise integral - and evaluate this from the analytic expression that has been obtained*.
* See, for example, Reference 1 (Appendix A, Section 6.3.2). The form of the coefficient of (1) - r),)' log 11) -')$I from the chord- wise integration will depend on the choice of E(x) (Section 1.1 above).
1.8 Treatment of Control Surfaces
1.8.1 Calculation on the Planform in Reverse Flow
The force in a smooth mode fi control surface oscillation, is deduced from the loading Li in reversed flow resulting from a downwash distribution fi . The reverse-flow theorem then shows that the desired, generalised force is given by the integral of the product Liwj over the control surface.
1.8.2
due to a discontinuous downwash distribution wj , prescribed by a
Use of Equivalent Smooth Downwash Functions
Instead of making calculations on the planform in reverse flow one can use the reverse-flow theorem to con- struct equivalent smooth downwash functions which should give the same generalised force in a smooth mode as the loading produced by the actual discontinuous downwash distribution of the control surface motion. The form of this equivalent downwash depends on the choice of the exponentijl factor E(x) (Eqn (1.2)). It is simplest when E(x) = 1 and the loading approximation of (1.13) refers t o c(y)l(x,y) . The equivalent downwash then is
(1.35)
where h p ) , dm) , g$w) and qs are given by Equations (1.18), ( I . 19), (1.22) and (1.23) respectively.
An approximation to the expression (1.35) which has been used in some of the work is the following.
With wj(r,v) = CZ(v)wT(E,q) , where CZ(q) includes the discontinuities a t the side edges of the control surface and w;(t,v) is chosen to be as nearly as possible independent of 7) , then
The above methods have also been used to obtain the force in a control surface mode due to control surface motion, though they are not strictly valid in these cases. A modification t o (B) aimed at improving the estimation of the hinge moment has been used in some of the low frequency calculations. In (B) the discontinuous chordwise downwash is replaced by a smooth downwash of polynomial form such that in two-dimensional flow the same lift, pitching moment, second moment .... are achieved. In the modified form (C) this condition is changed such that the two-dimensional hinge moment is satisfied instead of the (n-1)th moment. Also the conditions for the spanwise smoothing, which in (B) are in effect the same lift and first (m - 1) moments in roll, according to slender-wing theory, are replaced by the condition that the local lift at each collocation station shall be the same.
1.8.3 Use of Particular Loading Functions
To determine the pressure distribution due to control surface motion without having to take a very large number of loading functions and possibly getting an ill-conditioned problem in the process, it is advisable to use particular loading functions which include appropriate singularities at the edges of the control surface. These loading functions are either used directly along with the wing loading functions in a collocation procedure (as for example in Reference M13), or are used t o remove the downwash discontinuities from the problem, leaving a problem which can be solved by the usual methods. Development of appropriate functions is due mainly to Landahlj, HewittMM, AshleyM29, and Crespo and CunninghamM2*. As an indication of the types of functions that have been used, forms appropriate t o an outboard trailing edge control surface, reaching t o the wing tip, on one wing, are quoted below.
(A) Loading functions based on two-dimensional and slender-body theory:
(1.37) 1 - vvee- JC 1 - q2 1 - 17; ) (COS e - COS e,)i log
(B) An approximation to (A):
(cos e - cos e,)i log {Icos 0 - cos O c l l (v - v e l log (v - q e )
and zero elsewhere.
for 7 > v e (1.38)
8
Acum Danielli Davies Garner Laschka Long Richardson Rowe Berman
(C) Three-dimensional loading functions for a control surface with unswept leading edge:
x 0
!! w LL 2
G G G L G G G G G
A linear combination of
( 1.39)
and
( 1.40)
(D) A loading function appropriate t o a control surface with swept leading edge:
I'JJX~ + ~ ' ( 7 7 - v e l 2 + P < I - q e ) - JTFT 1
(1.41)
Suitably chosen square root factors are applied t o these functions, where necessary, t o give the correct wing leading- and trailing-edge behaviour. In the formulae
C xc - x
2s S x = -(COS e - coset) = - ( 1.42)
( 1.43) ,
( 1.44)
( 1.45)
( 1.46)
qe = q at control surface inner side edge
Xe = (X)q=qe
xc = x at control surface leading edge.
1.9 Summary Table of Subsonic Collocation Methods
M E U E f
.6
I!
m - E 0 a .e
E 0 0 0 0 0 U
.- c1
d
B A B C A B A A A -
C A D C C D D B B -
A B A A
A A C B
A t
A MO Me Me MO MO * Me
Me**
M M
M 14 M17andM2: M I 1 M24
3 o r C
B
The significance of the entries in this table is indicated in the previous sections apart from
G General frequency form L Low (first-order) frequency form N Not treated separately.
* **
t
The chordwise location is arbitrary and some calculations were made with other arrangements including U, and Io . This is the arrangement used here. The number and position is arbitrary, a least squares solution being employed when the number exceeds the number of loading functions. The g!")(q) are actually used to approximate to products of the spanwise loading and parts of the chordwise integral.
9
2. THE ALBANO-RODDENMI SUBSONIC DOUBLET LATTICE METHOD
where
This is a method of obtaining an approximate solution, by collocation, of the integral Equation (1.1) relating the downwash and loading in subsonic flow. It differs primarily from the more common type of collocation solution (Section 1) in the method of approximating to the loading. The wing (and control surface, if any) is divided into trapezoidal panels, the boundaries of which are lines of constant chord fraction or span fraction, in such a manner that the panels are arranged in columns parallel t o the free stream. In each panel a distribution of acceleration potential doublets of uniform but unknown strength is placed along the $-chord line. The points at the midspan and $-chord of each panel are taken as the collocation points. This choice of location for sending/receiving elements is such that the Kutta condition is satisfied approximately.
The integral equation is taken in the form of Equation (1.1) with E(x) = 1 . The kernel function is evaluated from Equation (1.6) by integrating by parts and then using the approximation (1.1 1). The downwash induced by a doublet line segment is then determined by approximating to f K ( x , y ) , along the segment, by a parabola. Improved accuracy is obtained by applying this procedure to yz {K - (K),=o} and then adding the w = 0 contribution by evaluation of it as the effect of a horseshoe vortex.
The method is applicable without modification to control surface oscillations provided the panels can be arranged so that the control surface edges do not intersect any panels.
3. SONIC\COLLOCATION METHODS
The only values given in this chapter which have been obtained by a sonic collocation method are a few by Davies's methodM4. This method is fully described in Part 11, Chapter 4, Section 3 of the Manual. It is on similar lines to his subsonic method (see Section l ) , the integral equation being taken in the form
~ ( x , y ) = w(x,y) exp {iwx/Vl
7(x,y) = /(x,y) exp Iiw x/Vl
4. SUPERSONIC BOX INTEGRATION METHODS
4.1 General
(3.3)
(3.4)
These are methods of evaluating the loading or velocity potential at a point from its expression as an integral, over the intersection of the forward Mach cone from the point with the plane of the wing, involving the downwash. The basic equations have the form
where the integration is over the entire disturbed region, bounded by the forward Mach lines from (x,y), comprising a region (C) on the wing and a region (D) on the so-called diaphragm.
I
10
K(x,y) = E(x) exp {+;;I; - cos {s} R = d w
1 and either (A) , E(x) = 1
(4.6)
4.2 Mesh and Influence Coefficients
The integration of Equations (4.1) or (4.2) is performed by placing a mesh over the planform and diaphragm and evaluating the velocity potential or loading as a sum, over the region (C+D), of the integral over each cell of the mesh. In general these elementary contributions, called influence coefficients, are evaluated on the assumption that either
(A) W is constant over the cell, or I .
(B) W cos {y} is constant over the cell.
When a cell is intersected by the leading or side edge of the planform, certain refinements are often introduced. These are as follows.
(A) At a supersonic leading edge the influence coefficient is taken to be that for a complete cell reduced in proportion to the area of cell on the wing.
(B) At a subsonic leading edge W is assumed to be constant over the part of the cell on the wing and to have the appropriate singular behaviour for a wing at incidence in steady flow, over the rest of the cell. That is, over the latter portion, on the diaphragm, W is proportional t o
where T is the ratio of the two characteristic coordinates of a point relative to the wing apex and r = K is the leading edge.
(C) At the side edge W is assumed to be constant on the portion of a cell on the planform and to be pro- portional to
over the portion of the cell on the diaphragm, where (p,u) are characteristic coordinates with origin on the side edge, and U = u I is the Mach line which is the boundary of the diaphragm.
An alternative to the refined treatment of leading edge boxes is the following, which we designate (D). This procedure has been used in one method:
(D) In what is called the “delta wing region” the ratio, in steady flow, of the exact potential to that given by the box method is first determined and these ratios are subsequently applied as correction factors to the unsteady potentials. The “delta wing region” is that portion of the planform in the vicinity of the wing apex which is uninfluenced by any differences of the planform from a pure delta wing.
4.3 Diaphragm
The velocity potentials or loadings at corners of the cells are thus obtained in terms of the values of W at the centres of the cell. The downwash on the diaphragm region (D) is however initially unknown and the normal
1 1
0 P b
a
M S C C M S
procedure (S) is to determine it step-by-step, starting at the foremost point of the mesh, from the condition that the loading on the diaphragm is zero.
5
: 5
B * v 2
e c 3 x 4 a
a
F S
An alternative procedure (F) is used in the method of Fenain which is facilitated by the fact that he takes
and consequently the influence coefficients are all real. It depends also on the assumption that the influence coefficients depend only on the position of the sending point relative to the receiving point and not on its position relative to the planform. Then the value of 5 at any mesh point can be expressed, in terms of the W at the cell centres, as
Having determined the influence coefficients Aij an inverse relationship of similar form is established:
(4.7)
(4.8)
where the Dij are obtained from a simple relationship between them and the Ai, . These expressions for the GI,,, are then used to determine step-by-step the i , at all the mesh points on the planform. This procedure avoids the calculation of the downwash at points on the diaphragm.
4.4 Summary Table of Supersonic Box Integration Methods
Assumption about downwash
D N B N
- 0 M B
2
6)
v) 9
N N N C
6 ) M a c
M16 M9
The significance of the entries in this table is indicated in the previous sections, apart from
G General frequency form V Velocity potential P Pressure N No particular assumption.
5. SUPERSONIC BOX COLLOCATION METHODS
5.1 General
These methodsM1oM 27 obtain approximate solutions of the integral equation relating the complex upwash distribu- tion Vw(x,y)eiwt to the perturbation velocity potential Vl@(x,y) . This equation is written in the form
where p,a are characteristic coordinates of-scale length d with origin at (x,y), i.e.
and the integration is over the part of the planform cut off by the forward Mach cone from the point (x,y).
A characteristic mesh of spacing d is placed over the planform. In each cell the potential is written in terms of its values at the cell vertices. Thus the contribution t o w(x,y) from any cell is obtained in terms of the values of the potential @ at its vertices by the use of Gaussian, modified Gaussian, and/or other integration formulae which take account, where necessary, of the behaviour of @ at the planform edges and of the (po)-In and (pa)-3n singularities in K . In the latter case the finite part interpretation is used. By collocating the calculated downwash with the prescribed downwash successively at the mesh vertices, starting at the foremost point and working backwards along the Mach lines, the values of the potential @ at all the mesh points on the planform are obtained. If a portion of the wake influences the planform, some potentials in the wake will be required for this procedure and these are obtained simply from the values at the trailing edge.
5.2 Irregular Cells
The major difficulty is the accurate treatment of the irregular cells which occur along the leading and side edges of the planform, particularly as errors here will propagate downstream. Allen and SadlerMl0 approximated to @K, and @K2 by simple polynomials multiplied by a weighting factor t o give the right behaviour at the wing edge and then integrated analytically. The calculation of potentials at mesh points just on the planform was avoided by combining two irregular cells into one where necessary. The potentials at a few points near the wing apex were determined from first-order in frequency theory to ensure an accurate start.
WoodcockM27 used similar approximation, but t o @ instead of @K, and @K, . The integration over a cell is then performed using the Gaussian or modified Gaussian formulae appropriate t o the behaviour of the integrand at the cell boundaries. In some cases the cell has to be divided into two parts. The potential is obtained at all mesh points on the planform (no combination of irregular cells, and no starting values) by the procedure of Section 5.1.
6. SUPERSONIC COLLOCATION METHODS
6.1 General
These methods have many similarities t o the subsonic collocation methods described in Section 1. Since no exponential factor E(x) was applied t o give modified loading and downwash, we will write the integral equation as
where C is the area of the planform cut off by the forward Mach cone from the point (x,y).
The kernel function K is used in the form
(X +M R)/P exp { F} U du
yzeiwdvK(x,y) = - cos - (x > PIYI, Y * 0) R (U2 + y2)'n
= 2
= o (x =G PlYl ) (6 .2)
(x > PIYI, Y = 0 )
13
(6.3)
where
R = Jm-. 6.2 Loading Functions
The approximations to the loading [(x,y) used in Equation (6.1) take the form
where t,q are defined in Equation (1.14). The chordwise loading functions hf ')( t) that have been used are
(A) h p ) ( t ) = cos {(r - I ) O l f(t ,v) (6.5)
where
according as the leading-trailing edge conditions at the station q are subsonic-subsonic, supersonic-subsonic, subsonic-supersonic, or supersonic-supersonic respectively.
E{o(q) are the abscissae for Jacobi-Gauss quadrature over the interval (-l , l) , with the weighting function f(t,q) , using n ordinates; the prime to the product symbol signifies that the factor for i = r is omitted. Thus for leading-trailing edge conditions:
(i) subsonic-subsonic (6.7)
(ii) supersonic-subsonic
(iii) subsonic-supersonic (6.9)
(iv) supersonic-supersonic t{% = Pp' , (6.10)
where are the positive zeros, and plN) are the zeros, of the Legendre polynomial PN(x) .
The spanwise loading functions gfm)(q) that have been taken are
z m
(m + I ) ( cos& -cos 4) m + 1 x = i - C sin A& sin A@ , (6.11)
(-)r sin@, sin {(m + 1)4) - - $%?) =
where M
@r = - m + l (6.12)
(6.13)
6.3 Collocation Points
The spanwise collocation stations are the same set as used in the subsonic methods, i.e.
q, = -cos$, = -cos (z) . m + l
(6.14)
The chordwise locations tiw) are given in the following table.
14
Leading-traihg edge
Subsonic-subsonic
FjW) (R) Richardson-Harrij , (C) Curtis
-cos {2r7~/(2n + I)}
Supersonic-subsonic
Subsonic-supersonic
0,‘“’ I I Supersonic-supersonic I 6.4 Chordwise and Spanwise Integration
In each method Gaussian integration formulae have been used for the chordwise integration. There is however, a variation in the treatment of the singularity at the edge of the Mach cone. One approach (A) is t o use Gaussian formulae appropriate t o the singularity. The other (B) is t o separate out the singularity by subtracting
where (6.15)
integrate the singular part analytically, and apply a numerical formula t o the remainder.
For the spanwise integration CurtisM20 used an adaptation (W) of the Watkins’ method (see Section 1.7), though the extreme limits were not in general ( -1 , l ) . In the region straddling the collocation point a 12th order Lagrange polynomial was used as an approximation to (7) - qs)2 x the integrand.
(H) a similar type of approximation was used by HarrisM25, though over the whole range of integration. A polynomial was fitted to (7) - vS)’ x the integrand at the zeros of the Chebyshev polynomial of the first kind Tq(x) , and the integral was then evaluated analytically. Correction to take account of the lowest order logarithmic singularity was included, as in the subsonic methods.
6.5 Summary Table for Supersonic Collocation Methods
Curtis Harris
M c
O E - 0
.e 0
.e
4, g 3
3; z c U -
A*
B M20
The significance of the entries in this table is indicated in the previous sections, apart from
G General frequency form N Not treated separately.
* To overcome the failure of the loading functions to account for a discontinuity in the loading of the Mach line from the tip leading edge, Curtis divided the wing into a “delta wing region” and two “tip regions’’ (for the case of non-interacting tips). The delta wing region was treated as an isolated wing. From this solution an induced downwash over the tip region was obtained and the tip region was then solved as an isolated wing with a modified downwash condition.
,
7. PREFACE TO TABLES AND FIGURES
7.1 Scope
The five planforms considered are shown in Figures 1 t o 5 and details of their geometry are given in Table 1. For reference the planforms have been numbered 1 to 5, though planform 3 has also been designated 6 t o distinguish the sonic and supersonic cases from the subsonic cases. Tables 2 and 3 give details of the cases for which calculations were made. They also provide an index to the calculated results. Figures 6 to 8 show, for the three supersonic planforms, the relative size of the wing diaphragm and wake regions over a range of Mach numbers covering those used in the calculations.
The basic presentation of the results is through tables of the calculated values of the generalised force coefficients (see Sections 7.2 and 7.3). It would be impossible to show on graphs all the calculated coefficients, particularly since there is often little difference between values calculated by different methods. A selection of such graphs (Figs.9 to 54) is therefore included here, with the intention of giving a general picture of the results and high-lighting any noticable differences.
7.2 Definition of Generalised Force Coefficients
The wing semi-span s has been taken as the reference length in all cases. The vertical displacement of the wing at the point (x,y) is expressed as
Z(X,Y) = s C f i ( x , ~ ) q i ( t ) > (7.1)
where the fi(x,y) are the modal functions given in Tables 2 and 3 and the qi(t) are the generalised coordinates. The results are presented as generalised aerodynamic force coefficients Qi, defined by*
Qi = -pV2s3 CQijq,(t) , (7.2)
where Qi is the generalised force in the i th degree of freedom. These coefficients Qi,, are given by
X
Q.. 1J = -1' 1 te fi(x,y)Xj(x,y) dxdy , -1 X I ,
(7.3)
where pVZXj(x,y)q,(t) is the contribution to the vertical force per unit area resulting from harmonic oscillation in the j th degree of freedom (i.e. with q,(t) = q,Oeiwt). They are complex and so are written as
Q.. = Q!. + ikQ!! ?I 'J U ' (7.4)
where k = ws/V is the reduced frequency.
7.3 Layout of Tables
Each of the Tables 4 t o 184 gives the matrices, [ai ,] and [ai:], of the generalised force coefficients for one particular planform, at one Mach number and reduced frequency, for one set of modes. The matrices are printed row by row in one vertical column. Thus each table contains comparative results obtained by a number of different methods. In general the quoted values are exactly as submitted by the various contributors and thus there is vari- ation in the number of significant figures. In exceptional circumstances a value has been rounded so as not t o occupy more than eight character spaces. Where a particular coefficient has not been determined a question mark has been inserted in the corresponding position in the tables.
In order t o show up the differences between the different calculations, a number of other details have been given along with each pair of matrices of general force coefficients:
(i)
(ii) [Qijl
(iii) [ai;]
Method - Number in list of references to methods
* Coefficients Cij defined by Qi = -pV2sS ,2Cijqj(t) , where S is the wing area, are related to the Qij by the formula Cij = (A/4)Qij .
16
(iv) Type of method - Number indicating type: 1 Analytical 2 Collocation - Multhopp type (cf. Sections 1, 3 and 6) 3 Supersonic box integration (cf. Section 4) 4 Supersonic box collocation (cf. Section 5) 5 Subsonic lattice (cf. Section 2 )
Minor details - Number indicating minor details about the calculation (see list in Section 7.4) (v)
(vi) Number of spanwise collocation points or boxes m (tip-to-tip)
(vii) Number of chordwise collocation points or boxes n
(viii) Number of spanwise integration stations fi
(ix)
(x)
(xi)
(xii)
(xiii)
Number of chordwise integration stations Ti
Number in file of calculated results*
Mach number used in calculation
Reduced frequency used in calculation
Semi-width (spanwise) of integration region covering collocation point when integration procedure W (see Section 1.7) is used.
May be slightly different from specified values I The numbers of boxes in a chordwise or spanwise direction ((vi) or (vii)) are the numbers between the extreme
chordwise or spanwise points on the wing planform respectively. With characteristic boxes these numbers are counted along chordwise and spanwise lines through the box vertices. If these numbers are n and m , then the ratio of nm to the number of boxes on the planform itself (excluding diaphragm, make etc.) is a constant, for a given planform, whose value depends only on the type of box used. Thus:
nm
Number of boxes on planform 5 Arrowhead 0.7086 1.4172 6 A = 1.45 wing 1.5 3.0
In methods where a diaphragm region was used the number of boxes on the diaphragm can be estimated from the relative areas shown in Figures 6, 7 or 8.
7.4 Index to Minor Details of Calculations
It will be necessary in some cases to refer t o the report on the particular method of calculation in order t o understand the significance of some of the following notes:
(see Reference M 15) 1 Instantaneous part of solution
2 First approximation N = 0
3
4 Two-dimensional quasi-steady equivalent upwash
5
Forces due to control surface motion obtained from reverse flow solution (see Section 1.8.1)
Equivalent upwash used to represent I 7
Two-dimensional and slender-body equivalent upwash (B) {see, e.g., Equation (1.36)}
Three-dimensional equivalent upwash (A) {see Equation ( 1.35)}
Frequency-dependent three-dimensional equivalent upwash (see Reference C 16)
6
7
surface motion
8 NPL rounding appropriate t o m {(A), Section 1.5)
(B), Section 1.5 with a = - Rounding of central kink 2
9 NPL rounding appropriate to
J 32 Rounding type (C) (Section 1.5)
* The source reference can be found from Table 186.
17
10 Truncated expansion in frequency
11 n approximate mean - chordwise number varies
20
22 ii is maximum number - distribution of iii between different regions varies with spanwise position of
Ti is maximum number - number varies according to region
collocation point
jl
t
Type of box used
30
33
40 Square boxes
Characteristic boxes (i.e. rhombuses bounded by Mach lines)
Mach boxes (i.e. rectangles with diagonal along Mach lines)
Chordwise position of collocation points*
44
50 0.1, 0.25, 0.5, 0.75
5 5 I / (n+ 1) , 2/ (n+ 1) , ..., n/(n.+ 1) {U (see Equation (1.25)))
5 1 Solution for small A d k
52 Solution for large A d k
99
Inverse location ( I ) {see Equation (1.24))
(see Reference M7) 1 Extrapolated from high subsonic values (M = 0.96) by transonic similarity law.
Combined notes:
21
31
20 + rounding {(B) (see Section 1.5)) with a = 15
3 + 4 (for hinge moment) + rounding {(C) (see Section 1.5)) - hinge line also rounded
41
80
4 + rounding {(C) (see Section 1.5)) - hinge line also rounded
8 + first-order frequency-dependent equivalent upwash {see Reference C 16) I
88 8 + exact upwash smoothed at collocation points near control surface edges {see Reference'C16)
~
Two single figure notes are represented by the two-figure number formed from the single figures with the smallest first. That is 48 represents 4 + 8.
7.5 Pressure Distribution I I
In addition to the generalised force coefficients, the pressure distribution was calculated for one case:
Planform No. 1, elliptic Mach number 0.8 Reduced frequency 1 .O Mode Method M 1 1 - collocation (Type 2) Source C7 (NLR)
No.2 - pitch about mid-chord axis
m = 15 (spanwise) n = 3 (chordwise). Collocation points
I I The chordwise pressure distribution was obtained at eight stations and the results are tabulated in Table 185.
I
1 * If no note, the chordwise location is the standard one for the method (see Sections 1.9 and 6.5).
18
REFERENCES
General
1. Williams. D.E. Three-Dimensional Subsonic Theory. AGARD Manual on Aeroelasticity, Part 111, Chapter 3, 1961.
2; Watkins, C.E. Woolston, D.S. Cunningham, H.J.
A Systematic Kernel Function Procedure for Determining Aerodynamic Forces on Oscillating or Steady Finite Wings at Subsonic Speeds. NASA Technical Report R48, 1959.
Pressure-Loading Functions for Oscillating Wings with Control Surfaces. AIAA Journal, VoI.6, No.2, 1968.
3. Landahl, M.T.
Methods
A Doublet Lattice Method for Calculating Lift Distributions on Oscillating Surfaces in Subsonic Flow. AIAA Journal, Vo1.7, No.2, 1969.
M I . Albano, E. Rodden, W.P.
The Oscillating Rectangular Aerofoil at Supersonic Speeds. Quarterly of Applied Mathematics, Vo1.9, 195 1, pp.47-65.
M2. Miles, J.W.
M3. Rowe, W.S. Collocation Method for Calculating the Aerodynamic Pressure Distributions on a Lifting Surface Oscillating in Subsonic Compressible Flow. AIAA Symposium, Boston, 1965.
Three-Dimensional Sonic Theory. AGARD Manual on Aeroelasticity, Part 11, Chapter 4, Section 3, 1961. ,
M4. Davies, D.E.
M5. Nelson, H.C. Rainey, R.A. Watkins, C.E.
Lift and Moment Coefficients Expanded to the Seventh Power of Frequency for Oscillating Rectangular Wings in Supersonic Flow. NACA TN 3076, 1954.
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M7. Landahl, M.T.
M8. Danielli, G.
Unsteady Transonic Flow Theory. Chapters 4, 6 and 7. Pergamon Press, 196 1
Three-Dimensional Unstationary Aerodynamic Forces - The Fiat Computation Program. Fiat Divisione Aviazone, unpublished document, 1968.
Numerical Calculation of Wings in Steady or Unsteady Supersonic Flow. Part I : Steady Flow. Part 2: Unsteady Flow. Recherche ABrospatiale No.115, 1966-7.
Oscillatory Aerodynamic Forces in Linearised Supersonic Flow for Arbitrary Fre- quencies, Planforms, and Mach Numbers. ARC R & M 3415, 1963.
M9, Fenain, M. Guiraud-VallCe, D.
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M I 1. Laschka, B. Zur Theorie der harmonisch schwingenden Tragjlache bei Unterschallanstromung. Bericht Nr. 13/6 des Entwicklungsring Siid (EWR), Miinchen, 1961. Also Zeitschrift fur Flugwissenschaften, Vol. 1 1, Heft 7, 1963.
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Unsteady Aerodynamic Forces for General WingJControl Surface Configurations in Subsonic Flow. US Air Force Flight Dynamics Laboratory, AFFDL-TR-67-117, 1968.
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M 15. Kiissner, H.G. Research on the Oscillating Elliptic Lifting Surface in Subsonic Flow. USAF Technical Final Report, Contract No.Af6 l(O52)-215, 1960.
19
Supersonic Unsteady Aerodynamics for Wings with Trailing Edge Control Surfaces and Folded Tips. U S Air Force Flight Dynamics Laboratory, AFFDL-TR-68-30, 1968.
M16. Donato, V.W. Huhn, C.R.
Multhopp's Subsonic Lifting Surface Theory of Wings in Slow Pitching Oscillations. ARC R & M 2885, 1952.
M17. Garner, H.C.
M18. Acum, W.E.A. Theory of Lifting Surfaces Oscillating at General Frequencies in a Stream of High Subsonic Mach Number. ARC R & M 3557, 1955.
M19. Stark, V.J.E. Calculation of Aerodynamic Forces on Two Oscillating Finite Wings at Low Super- sonic Mach Numbers. SAAB TN 53, 1964.
M20. Curtis, A.R. Lingard, R.W.
Unsteady Aerodynamic Distributions for Harmonically Deforming Wings in Super- sonic Flow. AIAA paper 68-74, 1968.
M2 1. Richardson, J.R. A Method for Calculating the Lifting Forces on Wings (Unsteady Subsonic and Supersonic Lifting Surface Theory). ARC R & M 3 157, 1960.
M22. Zartarian, G. HSU, P.-T.
Theoretical Studies of the Prediction of Unsteady Supersonic Airloads on Elastic Wings, Parts I and II. Wright Air Development Center, WADC Technical Report 56-97, 1955-6.
M23. Garner, H.C. Fox, D.A.
Algol 60 Programme for Multhopp S Low-Frequency Subsonic Lifting-Surface Theory. ARC R & M 35 17, 1966.
M.24 Long, G. A n Improved Method for Calculating Generalised Air Forces on Oscillating Wings in Subsonic Flow. ARC R & M 3657, 1969.
M25. Hams, G.Z. The Calculation of Generalised Forces on Oscillating Wings in Supersonic Flow by Lifting Surface Theory. ARC R & M 3453, 1965.
M26. Davies, D.E. The Velocity Potential on Triangular and Related Wings with Subsonic Leading Edges Oscillating Harmonically in Supersonic Flow. ARC R & M 3229, 1966.
M27. Woodcock, D.L. Unpublished work at RAE, 1968.
Development of Three-Dimensional Pressure-Distribution Functions for Lifting Surfaces with Trailing-Edge Controls Based on the Integral Equation for Subsonic Flow. NASA TN D5419, 1969.
M28. Crespo, A.N. Cunningham, H.J.
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M30. Zwaan, R.J. On a Kernel-Function Method for the Calculation o f the Pressure Distribution on a Two-Dimensional Wing with Harmonically Oscillating Control Surface in Subsonic Flow. NLR F261, 1968.
M3 1. Garner, H.C. Lehrian, D.E.
M32. Dat, R. Darovsky, L. Darras, B.
M33. Dat, R. Darras, B.
M34. Hewitt, B.L.
The Theoretical Treatment o f Slowly Oscillating Part-Span Control Surfaces in Subsonic Flow. NPL Report 1303, 1969.
Considkrations sur la Solution Matricielle du Probleme Portant Instationnaire en Subsonique et Application aux Gouvernes. ONERA Note Technique 135, 1968.
Calcul du Champ du Pression Induit par 1'0scillation d'une .Gouverne en Ecoulement Subsopique. ONERA TP 760, 1969.
Further Applications of the Method o f Matched Asymptotic Expansions to the Determination o f Pressure Loading Functions for Wings with Control Surfaces in Subsonic Flow. BAC (Preston) Report Ae 300, 1969.
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A n Investigation in Two Dimensions of the Calculation of Lift Distribution on a Thin Aerofoil, with Control Surface, in Steady Incompressible Flow, Using a Part- Chord Load Patching Technique. BAC (Preston) Report Ae 293, 1969.
M37. Lehrian, D.E. Garner, H.C.
Theoretical Calculation o f Generalised Forces and Load Distribution on Wings Oscillating at General Frequency in a Subsonic Stream. RAE Technical Report, to be published, 197 1.
Contributions and Sources
c1.
c2.
c3 .
c 4 .
c5 .
C6.
c7 .
C8.
c9.
c10.
C l l .
c12 .
C13.
C14.
CIS.
C16.
C17.
C18.
C19.
c20 .
c21 .
Williams, D.E. Theoretical Derivatives for Rectangular Wings at Supersonic Speeds. Unpublished RAE paper, 1964.
Rowe, W.S. AGARD Generalised Force Calculations. Boeing-Commercial Airplane Division. Unpublished paper, 1968.
Garner, H.C. Lehrian, D.E.
Albano, E.
Danielli, G.
Comparative Theoretical Calculations of Forces on Oscillating Wings Through the Transonic Speed Range. NPL Aero Report 1246, and earlier unpublished paper.
Unpublished work at Northrop Norair, Hawthorne, California, 1967-8.
Generalised Unstationary Three-Dimensional Aerodynamic Forces for Some Wing Planforms in Subsonic Flow. Fiat Aviation Report No.DCVP Gen-F-67095, 1967. Also Supplement - Study of the influence of some parameters. Fiat Aviation Report No.DCVP Gen-F-68037, 1968.
Guiraud-VallCe. D. Calcul des Forces Gtnkralistes htationnaires sur Certaines Ailes en Rkgime Supersonique. Unpublished ONERA Note Technique, 1967.
Zwaan, R.J.
Blair, B.M.
Unpublished work at NLR, 1967.
Aerodynamic Forces on a Finite Rectangular Wing Oscillating in Transonic Flow. Unpublished RAE paper, 1960.
Allen, D.J. Sadler, D.S.
Laschka, B. Bohm, G. Schmid, H.
Bentham, J.P. Wouters, J.G.
van Spiegel, E.
Pitching and Plunging Derivatives for Low Supersonic Mach Numbers for Rectangular, Delta, and Tapered Wings. Hawker Aircraft, Report D 126 1, 1963.
Generalised Aerodynamic Forces for Some Wing Planforms According to the Unsteady Three-Dimensional Lifting Surface Theory in Subsonic and Supersonic Flow. VFW Report M-75/66, 1966.
The Calculation o f Aerodynamic Forces on the Circular Wing in Unsteady Incom- pressible Flow. NLR TNW25, 1963.
I
I
I
‘, I 1
i
I I
I
1 1
I I
Boundary Value Problems in Lifting Surface Theory. WLL Technical Report W 1, 1959.
Woodcock. D.L. On the Accuracy o f Collocation Solutions o f the Integral Equations o f Linearised Subsonic Flow Past an Oscillating Aerofoil. Proceedings of the International Sym- posium on Analogue and Digital Techniques applied to Aeronautics, Likge, 1963.
Pollock, S.J. Olsen, J.J. Mykytow, W.J.
Recent AFFDL Research in Unsteady Aerodynamics. U S Air Force Flight Dynamics Laboratory, AFFDL paper, 1968.
Kussner, H.G. Research on the Oscillating Elliptic Lifting Surface in Subsonic Flow. U S Air Force Technical Final Report - Contract No.AF6 l(O52)-2 15, 1960.
Lehrian, D.E. Calculation o f Subsonic Flutter Derivatives for an Arrowhead Wing with Control Surfaces. NPL Aero Report 1230, 1967.
O’Connell, R.F.
Long, G.
Garner, H.C.
Woods, A.G.
Garner, H.C.
Unpublished work at Lockheed-California, Burbank, California, 1968.
Unpublished work at RAE, 1968.
Unpublished work at NPL, 1967
Unpublished work at Hawker Siddeley Aviation, Hatfield, England, 1967.
Unpublished work at NPL, 1966.
21
C22. Woodcock, D.L. Subsonic Flutter Derivatives for the Planforms of the MOA FV Committee First Research Programme. Unpublished RAE paper, 1962.
C23. Garner, H.C. Unpublished work at NPL, 1968.
C24. Pollock, S.J. Applications of Recent Developments in Unsteady Lifting Surface Theory. Vol.11, Proceedings of the Air Force Science 'and Engineering Symposium at San Antonio, Texas, USA, 1969.
C25. Lehrian, D.E. Theoretical Calculation of Generalised Forces and Load Distributions on Wings Oscillating at General Frequency in a Subsonic Stream. RAE Technical Report, to be published, 197 1.
Garner, H.C.
22
d o
4
x m I 1 ^ 1 II
X
+ I m x II x
- x m + I d
II X
0
II x
0 II vr \d m 0
I I I I I
II E x X
x c-4 d
2
2
+ II 0
II x
x 0 d x
x + 00 \o
II X
'?
II 0
x II x
h N E l -
I I 5 " I= 4
h N h h
n x N x I v h
N
E I c v
5 I II X
I
E I
W n N
W
5 II X
I I I
i
23
6. Tapered swept back ~ A = 1.45
TABLE 2
Subsonic Cases
Plan form
Plan form
Mach Numbers
1. Circular and elliptic A = 4/n d( 1 - M2)
Wing Leading Wing Trailing Edge Edge
Rectangular A = 2 1 1
Arrowhead A = 4 1.803 1.118
Tapered swept back 1.287 1.057 A = 1.45
*
2. Tapered swept back A = 2
Control Surface Leading Edge
-
1.118
1.093
3. Tapered swept back A = 1.45
Mach Numbers
0, 0.8, 0,95
(a) 0, 0.7806, 0.9270
(b) 0.7806
(c) 0.7806
(d) 0.7806
0, 0.8, 0.95
Reduced Frequencies
k = ws/v
0, 0.1, 1, 2
0, 0.5, 1
0.5
0.5
0.5
0, 0.5, 1, 4
1, x, xz, Y Z Y, X Y
1, x, flap 2 rotation Y, X Y
1, x, flap 1 rotation 1, x, flap 3 rotation 1, x, flap 4 rotation
1, x, x2, Y Z flap rotation Y, XY
i A mode of flap rotation indicates a modal function
fi(x,y) = (x - Zh) for a point (x,y) on the flap
= 0 elsewhere,
where x = xR(y) is the flap leading edge.
TABLE 3
Sonic and Supersonic Cases
Set No.
2 5
2
5 1
3
4
2
5 -
4. Rectangular A = 2
5. Arrowhead A = 4
1, 1.05, 1.2, 2
1.1, 1.25, 1.5621, 2
1, 1.04, 1.2, 2
Modes Reduced Frequencies k = ws/V fi(x,Y)
0,0.3,0.6, 1 , 2 1, x, x2, y2, xzy2 I Y, X Y
0, 0.5, 1, 2, 4 1, x, x2, Y2 flap rotation Y, XY
1, x, x2, Y2 flap rotation Y, XY
0, 0.5, 1, 4
Set No.
2 5
2
5
2
5
-
Results in Tables
4 - I5 16 - 27
28 - 36
37 - 45 182
183
184
46 - 57
58 - 69
Results in Tables
70 - 89 9 0 - 109
110 - 129
130 - 149
150 - 165
166 - 181
24
>
NOTE TO TABLES 4 TO 184
1 . 2 2 2 .O.O319I
0
The Table below is a much reduced version of Table 4, and is intended only as a sample. Alongside this Table on the right-hand side are given notes or symbols which indicate the contents of similar or corresponding rows in each of the Tables 4 to 184.
12 1 3
0 0 2.812 1.8161 2;931 Y . 0 3 6 1 0 ?
0 0
1.379 1.2189 0 1
? 0 ? 1 . 1 1 0 1 1 .o.nvnz 1 1
-1 .161 -1.b761
1 1 l b
? ? 1 1
? ? ? ?
1 ? ? 1
1 ? ? 7
I
14
1.9
8
0
n 4 V U
2.81211 2.1218 S . 1 3 8 1 1 J.RP80 0.82071 1 .158 O.bPJ11 0.6910
-1.bLb83 -1.371b 0 81011 0.0818 0:91761 1 . 0 0 9 b
.O.J0210 .0.2806
i . i ? v 8 ~ 1 . n 8 n O . J ~ I 0 .2680 0.r090s o . m z
o . r m 1 o . w &
0.22661 0 .2010
0.69150 0 .6911
0.13171 0.1818 0.23616 0.2%
2 7
0 2n
12 1 1
b 1
26 1 6
0 1 1
126 233
2 2
0 0
1J 1 3
a J
0 1J
0 2 1
390 166
0:oooo o:oooo o:o1oo 0 .0000 0.0000
o:onoo o.'noio a : o i o o o.oooo o ' . ' o o Q ~
o:oooo o;oooo n';o1oo 0 . 0 0 ~ 0 o.0000
Y A n L m 1 - I
1 ? 0 . 1 0 a 1 ? ? 0 .1211 I 1 0 t i a o ? 1 0 ' 2 3 8 0
1 2
0 I 2
0 10
0 I
0 10
0 2 1
1 . 619
o.nono o . o o o n
o.noio 0 . 0 0 0 1
0 . 0 0 ~ 0 0.0000
2
0
1
2
1
0
b
n:aono
n:ooio
n:oono
.n.noon
.o.ooon
2.8271 1.?177 n.roor 0.?021
.1 .IO91 n.1621
.0.1281
1 .I991 n . m m 0.\68? 0.260?
0 .?911
0.7029 0 . b 2 9 1
0 . 8 5 3 0
n.?oze
0.1213 n . z m
z
0
1
1
b
n
3
1 4
.O 2.8111 2.8PIb
.O
.O - 1 . b I 1 1
1 .2 I91 .O
.o 1.1199
- 0 . 0681? .O
.O 0.6998 0.6116
2.8111 1.6171 0.6188 0.6996
-1.4J11 0.8811 0.7PIO
.0.1160
1.1100
0 . 3 I 9 1
.O
O.JO29
0.2179
0.6998 o . m S 0.1188 0.2JPh
2
0
4
6
L
d
6
Method
Q[j
Q!! U
Type of method Minor details
m Spanwise coll. pts or boxes n Chordwise coll. pts or boxes m Spanwise integration stations E Chordwise integration stations
-
File No. M k
Integration region width around coll. pt.
P' iANFORM 1 MODI! SPY 2 M110.0000 KmO.0
1 3 8 11 11 12
0 o.oo000 nO.nOo23 .:'oooono -o'.'noooo o 2.871 2.81201 2.82485 t ' : n i693 i 2;'n1410 2.812
n o.oo000 n0.60004 r':nooooo -n.oonOo o
n o . ~ o o O o ao.nono3 o:oooooo -o'.'oooOO n
0 o.ono0G nn.noooo o'.'oooooo -n;ooooo o
0 o.ono0o n0.00003 n.'oOoono qo:'nooon 1.222 1.179a3 1.n875 i :177623 1 : l n a t
3.009 7,95681 3.2106 2.'961501 2,'95731 2.931
S 1 . g c 9 . l . w a 3 -1.37749 .1.06127 -1:46035 81.465 1 .370 1.37665 1.39977 1 .-1?6910 1:'18260 1.379
nO.05593 00.07262 r 0 . 0 8 6 8 n-*068470 -0:06826 9
25
TABLE 4-1
n
n 0.7530 n ;6 i77 0
T 9 ? ?
T ? ? T
? ? 9 T
? ? ? ?
S
11
1 8
A
0
n 196
1 ,17983 0.30713 O.OO903 0,22665
0.49 530 0.73864
0.23676 0. i 3171'
2
0
1 2
ib
26
0
126
0:~Oa'oo o;oooo 0 : O ~ o o o,ao10
o:nnoo o;oooo T A R L K I c1 1
1 .n% 0.2680 0.3272 0.2040
0.6974 0.7074 0.1848 0.236
z 2n
i 4
3
56
i n
235
o.:or 0 0
s:o100
1)': 01 00
? ? ? 9
? ? ? ?
? T ? 9
T ? ? ?
2
0
1 5
3
0
0
39 0
1 ':I 7781 a': 5 9 5 59 0;41882 o:zasso
n ': 7 L 8 5 5 n':i 3896
0 '.. 69 6 29
0:'25715
2
n
1s
3
15
24
L66
9 T ? ?
P ? P P
1
0
0
0
0
0
1
1 3
0 2.8164 3 . 0 5 6 1 ?
0 -1. b 7 6 I
1.2869 ?
0 1.1705
?
? ? ? ?
-0.0984
2.a160 3.9247 1.0249 ?
- 1 . 4 7 6 4 0.7766 0.9325 ?
i . i 7 n g 0 . 3401 o . 4 c n c ?
, ? ,? ? 7
2
2 2
1 0
3
s o 21
619
0.0000 o':oooo o.oono o':onoi
0.0000 0'.*0000
o..noon o . o o o n
o..noio 0.0001
0.0000 0.0000
1 L 1 4 1 4
mo.ooon .o .ooon .o
-o.ooon .o .aoon .O
~ o . o o o n oo.ooon -0
o . o o o n .o.oooo .O
~ 0 . 0 0 O n n O . O O O O - 0 i . 1 9 9 ~ 1.1991 1.1299
m6.04162 n0.1069 ~ 0 . 0 6 a l P r o . o o o n .n.oooo .O
ao.ooon .o.ooon - 0
mo:ooon mn.ooOn - 0
3.8201 2.8271 2 . 8 t 5 1 1 .02 ia 2.1193s 2 .8206
ml.518) m1.5097 n1.4510 1. L O 1 1 1.356s 1.2Y91
0.7021 0.7029 0.6996 0 . 6 5 1 n 0 .6291 0.6156
2.8294 2.8211 2.8151
n:7006 6.7025 0.6096
- 4 . 9 1 6 3 -1 OPT -1.4316 n.'8937 0.11421 0.8011 0 .9091 n.6550 0.7979
1.91611 3.7777 3.6471 0.7197 0.700P 0.6888
nO.3287 ~ 0 . 3 2 8 1 -0.3166
1 -1996 0.3747
- 0 ..2737 0.2440
0.7025 0 . a221 0 . 1 m 0-'2360
2
0
L
2
0
0
4
ni.' 0 0 n e n'. 'ooia
o':oona
1.1991 1 . l e 9 9 0.1179 0.3029 0.3682 0.3297 0.2407 0.2279
6.7629 0.6998
0.1215 0.1188 n. 2401 o . 2s96
0.7911 0.7665
2 2
0 0
b 4
b 6
b I.
n il
3 . 6
o?ooon 0 . 0000
0*.~001 0 e . 001 0
o:looan o.0000
26
TABLE 4-2
1 6
8 0
-0 m! . b813
1.3806 dl
en 1 .181s
eO.03974 so
0 . 6 9 5 8 0 . 6 i 1 3
SO
2 ,8516
0 ,7869 0.6042
m l . 6 6 l S 0 .8813 0,,8&92
S o . s i s a 1 : l a 1 3 o : s i 0 6
~ 6 . 2 3 5 3 0 ,'2A23
1 , 6 1 3 1
2332 Ol226L
6974 6 . 6 9 6 4 7970 0 . ? 4 0 8 1269 Oj1358 2 m o . m a
, 2 2
0 0
8 8
a 6
A 8
0 0
7 8
o:oooo 0;aooo
0'.'a010 0.001 0
0:oooo 0;oooo
T A I L 8 4 e Z
P
n
n
a n
a
9
n'.* o o o o
0': 001 0
0,0000
2
0
12
I
12
0
10
0 .0000
0 . 0 0 1 0
0 .0000
2
n
16
2
16
n
11
0 '.* 0 0 0 0
0 ..* 0 0 1 0
o ': o n 0 n
2
0
12
6
12
il
1 2
0 . O O O n
0. no1 0
o.-noo6
2 0
ao 4
a o 0
13
0 . 0 0 0 0
0 .0016
o. ondo
1
1
0
0
n
0
Z I
n:'oono
n ': 0 0 n o n ': 6 0 no
13
n T ? ?
0 ? ? ?
? T ? T
? ? ? ?
2 , 8 5 9 0 ? ? T
e l . 6 9 7 5 ? ? ?
? ? ? ?
? ? ? ?
1
2
n
n
0
a
2 R
o?oo o n
o?oonn
o'3ooon
23
6
? 7
0
? 7
I ? ? 7
7 7 ? ?
2 . 8 0 9 8 3.7829 7 7
2, an98
e l . 4719
w l .4789 0.8748 ? ?
7 7 ? ?
7 ? ? 7
2
0
11
2
67
0
681
0 . 0 0 0 0
0 . 0 0 0 0
0 - 0000
I
Y
21
TABLE 4-3
2J 0 2.8122 0 t
0
t T
t ? T t
v t t t
2'. 81 22 S,P685 ? t
04:1611 0 . e t 3 8 ? ?
1 ? ? 0
t t T t
m1.9651
2 2
0 0
11 11
s I
71 95
0 a
682 685
o:oooo 0'..0000
o:oooo 0;oooa
0'.'0000 0;oooo
T A I L E i a 3
IS
0 2.81Sl
' ? ?
0
7 T
T T T T
1 T T ?
2 . 1 1 5 1 3.79S2 ? 1
01.6663
m l . L66S 0.8726 ? ?
T ? T ?
7 ? ? T
2
(1
5
A
95
(1
69 3 0:'0000
0:'0000
11': 0 0 0 0
I 28
TABLE 5 1
5 2
11 0
18 12
n 6
0 26
n 3
q 99 127
O.'aooO 0;ooOo
0:1000 0.1000
o:nOoo 0:ooOa
T A R L E S n 1
2
a n
7 b
8
36
18
236
1 ) : 0 1 00
n:1000
0.0100
2
0
13
3
0
0
39 1
0 . oono
0 . 1 0 0 0
0.oi)oo
2
n
15
19
24
467
0': on 0 0
0:. 1000
o:'oooo
2
44
15
3
15
24
733
0 . nonn
0.1000
o.ooon
11
no. 0236 2.8098 2.90S8
- 0 . 0 0 4 5
* 0 . 0 0 1 1 a l . 4 6 R O
1 , 3 8 8 9 uo .0001
~ 0 . 0 0 4 1 l . l T 8 5
W O . 0728 - 0 . O O O l
- 0 . 0 0 4 5 0.6951 0 .6119
- 0 . 0 0 1 5
2 . 8 0 R S 5 .8351 0 .8760 0 .6946
- 1 . 6636 0.861'1
- 0 . 5 0 2 1 0 . 9 2 1 1
i . i 7 7 a 0.'3704 0 . b561 0 .2258
0.6947 0 .7611 0 .1171 0 .2368
11
0 0 : 0 26 7 2 .5917 a.94bn
aO.0067
no. 001 q
1 .3875 "0 : e o o T
a1 - 5 0 2 1
wO.OOL1 1.1407
- 0 . 0 r 6 7 ono4
0 .:bl10
a :5801
n o . 0068 0: 9979
mO.0016
3 . 9 0 3 1 0..5131 0.'58?7
94 - 1 9 8 ) o. a43q 0 .826n 6 .' 5 1 6 II
1 .1389 0 . 3 8 8 3 0.296n 0:2077
0 .'5977 o . r l 8 n 0.0791 n . i a m
11
.o. 0252 2.8614 2.9n97
a 0 . 0 0 6 4
a n . n o i ~ w l .1&51
1 .378b eoob
. 0 .eo40 1.1851
w o . n a i n q n . eoos
.n. n 0 4 ~
n . 6 o o a no. e01 4
2.8597 5 .7718
0.7149
n . 8 5 0 3 n. 72411
wi .abon 0 . 8 5 3 7 0 .9110
ab. 289 7
1 . f 8 b S 0.J571 0 . 4 2 8 4 0 .2306
0.1145 n . 7511 0 . 1 3 9 ~ o . 2483
2
0
19
6
19
a b
7S6
e . onon
0 .1000
o . ono0
2
9 0
19
0
19
?4
i f75
n i: 0 0 n e
n':r Ono
n:'aono
3 2
.O. o a s 2.785 2 . 8 9 4
- 0 . o n 4 4
-0.0616 0 1 . 4 1 1
1 . 3 9 1 00 . 0 0 0 3
7 ? 7 ?
? ? ? 1
2.785 3 . 7 8 2 0 . 8 2 6 0.688
a1 - 4 9 1 0 .867 0 . 9 4 1
- 0 . 2 9 8
? 1 1 ?
1
0
a
0
0
0
2
e. nooo
0 . 1 0 0 0
0 . 0000
29
TABLE 5-2
1 4 1 5
00: 0371 S -0 .0267 ? 2.5664 ? ? t T
0.00S4? 0 ? e l .3S69 ? ? t T
? T t ? ? ?
. t T
t T ? T t T t T
a:a3%4 i.:sw t 4 t T ? ?
ml.68bT rl.SS3S 0.?565 ?
t ? 9 ?
T T 1 ? t ? ? ?
0 T ? T 0 ? t ?
2 1
22 2
1 0 0
S 0
so 0
21 0
620 29
o:aooo o;'oooo 0:iooo 0;1ooo
0:aooo 0'.-0000
T A O L l 5 e 2
1
4
0
0
0
0
1 5
0"0000
0:1000
0:oooo
30
TABLE 6-1
P L A M l O R M 1 MODE B E T 2 MrrOf?OOOO Kw1:O
1 1 3 8 11 11 12
-2,510 *2'.56S -2.542hq -2'.55936 -?'.S6252 92.5'1898 - 2 . 5 5 0 2:669 Z'c6SO 2 .7S lnz 21.64?10 2:717567 2.72462 2 . 7 5 3 2.276 2*.27b 2.S1158 $;Sa962 ?-:S21152 2.31761 2 .506
-0,5199 -0'.5116 w 0 . 5 0 0 S ~ ~ 0 . M 1 7 8 - . l o 4 2 6 4 -0 .5f1144 - 0 . 5 0 1 7
-0,01519 -1,009S69 w0.054hl -0 ,152l lZ - .058956 -0 .06176 - 0 . 0 5 1 8 -1',761 -1$759 ~ 1 . 7 8 1 3 0 r f . 7 8 3 4 2 -1 . '?El70 -1 .77924 -1 .780
-;00593b - ,003881 ~ 0 . 0 1 4 8 9 m6.01288 L . 0 1 5 8 4 0 -0 .01651 *0 .0116
-0 ,9178 -Of,52OOl m0.48660 w0',41562 -.'490515 -0 .40053 1 1.155 l f o l b 8 1 .15062 'c.04020 1,141472 1 .14293 ?
( ,bo6 l ~ . b 0 7 1.417'10 i ' ,98859 i . ;o is566 1 .41918 1 . 4 2 4
-0 ,2474 - O ; Z ~ L P - 0 . 2 7 4 ~ s o . ~ o i 5 s - . 2 7 2 ~ 3 s - 0 . ~ 7 2 s ~ o
- 0 ~ , s s i 8 - 0 , , 5 ~ 6 6 - O . ~ O O S R .0 .50411 - . 5 0 6 ~ 7 0 .o.sns98 7
~ 0 , 0 8 1 7 6 -0,081S7 ~ 0 . 0 7 3 1 2 ~ 0 . 0 6 1 1 7 - . 0 7 6 l S 7 10.07609 ?
0',6697 0,6729 0.6?&01 0 .66107 n.6?0777 0.67211 1 0,511b 0 ,5094 0.4966q 0.52000 0,501856 0.50082 1
-0 ,174? -0',1715 ~ 0 . 1 5 8 8 7 00 .19484 - - 1 6 0 4 1 8 -0 .16018 1
2,657 2 .625 2.67861 2'.7024? ? .6?2461 2.675h7 2 .676 3,468 3,961 S.9bqF2 1 . 0 4 1 5 1 3.'9712S2 3.96546 3 .947 1'.106 1',119 1 .02165 1 .98525 1.047S89 1.03916 1 . 0 0 9 0.67S7 08,6547 0,65933 0',65869 n-'658238 0.6S8?O 0.6591
-1 ,400 -11,S98 -1,S96S? a f . 3 7 6 1 2 -1.19462 -1 .59295 -1 .596 0,7294 0.72SS 0.77663 0 . 8 4 5 9 7 n:780576 0.7A653 0 .711s 0,7805 0',7810 0.8S987 0 , 8 4 4 ? 4 n.,819001 0.83809 0.8S29
-O',2948 -Q',290S -0.28394 mO:2?334 - .261594 -0 .21117 - 0 . 2 8 4
1,; 1 s 5 3 .4604 0.4890 0,221s
c.6649 0,8306 0 ,21 sa 0 . 2 4 3 6
l*. 129 0 ' ,4645 0!,49SS 0:. 21 70
0$6700 0;,82S5 6 ,2161 @, 295?
5 5
11 11
18 2 2
8 8
0 0
0 0
192 195
0.'0000 0.0000
1 ,0000 1 ,0000
0.0000 0 .0000
T A B L E 6 w 1
1 .127S2
0.49287
0.659LS 0.78557
O.429bn
0.21 2Ln
0. i 8 1 8 n 0 . 2 2 t i a
2
0
12
4
26
0
128
0 . oonn 1 . oono
0 . oonn
1 .05820 1 :121835 0 .94262 n .428137 0.61 01 2 n. 466708 0.14603 n -' 21 19 72
ay66412 n .658640 01,80862 n :7959 05 6'. 21686 n .192905 0:'22722 n.226998
2
20
14
3
56
1 8
237
0;o loo
1 .oooo
0; 01 00
2
0
15
S
0
0
19 2
0 .0000
1.0000
0 . 0 0 0 0
1.12268 0.47819
0 .21209
0 . 6 5 9 S 4 0 .79428 0 .19120 0.2271 2
0 . 4 ~ 4 9
2
0
15
3
15
2 4
468
0 .0000
1'. no00
0'. nooo
1
0
0
0
0
0
3
0.0000
1.0000
0.0000
1s
m7.6338 7.5651 7. S S ~ ?
en. 0077 m i . E l n o i . U 7 ? ?
-~0.48!!4 1 .1155
- 0 . 3 0 2 7 ?
7 ? ? ?
2 . 6 0 ~ I . o7n5 1 .2134 ?
-1 .4210 0.6869 n. 8znn ?
1 . 1 0 ~ 3 n.41no 0 .5161 ?
? ? ? ?
2
22
10
3
30
I 1
621
0 . onnn 1 ;onon
a;onaa
14
*2 .5487 2.9447
-0 .941 5 2 . 1 s ~ ~
0.08A46 -1 .57Sl
0.9076 o . n i 211
90.9410 1 .169)
-0 .09426
uO.5f76 0.6316 0.4811
o , 01 no7
-0. i n n 6
2 . 5 9 ¶ 8 S.88?4 1 ,.1618 0 .6534
w l .J291 0 . 4 l q l 0 .4560
-0.2019
1 .0669 0 .5821 0 .02226 0;221o
0.64A2 0 .8232 0 .' 2 626 0.-227s
1 4
.I 2 .' 579 4
2,2728 - 0 , 5 4 3 3
2 ..8000
a 0 . 0 3 5 2 ~ - 1 ;E062
1';4488 00.01196
s0.-47!!2 1 ;1871 - 0 .' 076 3S
nO.'3635 0 .'6914 0.'5137
* 0 .' 1 89 b
2;6992 s;9595 o ;a836
-1 ; 4 3 7 5 0.'7567 0;7565
r0,'SOQb
- 0 a q :si
0 ;6690
2
n
4
2
4
0
14
0 .: 0 0 0 0
1 :oaoo
0,0000
1.:1 473
0 '.* 2 2 7 0
0 .'6606 0 '.. 8 4 0 4 0.'1712 0;2314
o ;sen2 0;4411
2
0
4
4
4
n
1 5
0;'0000
1 ;oooo
0, 0 0 0 0
TABLE 6-2
1 4 14 14 14 14 14 14 14 19
-2..4858 -2 ,4832 m2.5541 u 2 : ~ 9 1 8 1 -7 .5892 ~ 2 . 5 7 3 6 -2 .4683 s 2 . 5 6 b 4 -2,6667 2 ,7991 2',5212 2 . 7 5 8 ~ t . 7 ~ ~.74sa 2 . 7 ~ ~ 6 2 .5914 2.7sn5 2.5469 2.2511 2.,076i 2 . m 6 2'.27a8 7 . ~ 2 7 ~ 2 . ~ 0 1 6 2.0451 2 . 3 2 ~ 9 7
-0 ,5232 -O.,5091 -0 .9166 - o ~ , S o 9 s ~ 0 . 9 1 7 0 -0 .5153 -0 .5019 m0.5067 7
-0 ,04427 W,06591 - 0 . 0 4 3 5 3 m O . , O 4 Q O 6 -0 .05741 -0 .04676 0.06620 0.06100 0
1 ,3170 059196 1 ,4159 1',3731 1.4469 1 .439b 0;9211 i . 4 2 5 8 7
-0',4353 - 0 ~ ~ 5 2 8 2 mO.4761 soi.46ov - 0 . ~ 9 4 2 -0iCR89 - 0 . s 2 ~ m a . r 9 n 4 7 V.1069 1,,1542 1 , 1 6 2 5 i l l 5 0 0 i . 1 6 5 2 1 .1729 1 . 1 5 2 2 1 . 1 4 9 5 7
.mO.2450 -.;006077 m0.2921 ma:;26?9 - 0 . 2 8 5 1 -0.2968 ~ 0 . 0 1 1 6 0 en.27nb 7
-1 ,7199 *1;,5S64 -1.788T m i ' . 7 9 4 -1 .8067 ~ 1 . 8 0 3 6 -1 .5136 ~ 1 . 7 8 q 2 31.6889
-6 ,01269 0',01015 m0.01292 s0'.01394 -0.01619 -0 .01997 0 .01092 ~ 0 . 0 1 6 6 9 7
* 0 , 0 7 0 9 4 - ~ ~ , 0 9 1 S O -0 .07567 m0.;0723? -0.07591 -6 .07604 -0 .09096 -0.OTbS6 ?
31
-0 ,5232 0,6836 0. 5081
-0 ,1833
2'.6807 3 . 6 2 9 1 0 . 8 8 5 9 0; 66 4S - 1 - is 8 2 1 0/7099 0'0 1 0 0 5
-0 ,2978
1 ~r 0772 0'. 3735 0'. 4041 0.2139
0 . 6 6 4 5 0; 8 1 s 1 0 ,1695 0 , 2 3 0 1
-0 ;498b mO.516) Q , 6 1 7 7 0.681i' 0 ,4456 0.9005
*O', 1641 m0.1688
2:5789 2 ,6826
11,167Z 0 .9485 s;7837 s.9~711
0 . ~ 6 4 6 1 0 . 6 m
-l., 29?4 m l ,4129 0; b 4 0 5 0 .7585 0*,4486 0.7959
-0 ,2775 -0.294n
1*,0594 1 , 1 3 1 + O:, 5579 0 , 4 0 1 1 0,02382 0 . 4609 0 ,2116 0 .2179
0 , 6 3 4 a 0 .66z i i 0 ' ,767l 0 .8047 O.,24b6 0.1119 0'.2234 0.2286
2
0
4
6
4
0
16
0.. 0000
l ~ ; o o o o 0,0000
T A B L E 6
2
0
8
2
8
0
17
0~ ,0000
1 . 0 0 0 0
0 ,0000
- 2
2
0
8
6
8
0
1 8
0 . 0000
1 '. 0000
0 . O O b O
W O . 5092 0,6789 0.4481
~ 0 , 1 6 6 6
f:'6?6R S.8891 0 .9435 0.6609
w i . 3 9 l b 0:743L 0 ,771 7
-6'. 2896
1.1054
0 .212a
0.3441 0 , 4 4 5 8
0.6610 0 .7446 0.1737 0.2285
2
0
8
8
8
0
19
O'.'O 00 0
i '; ono o
0;oooo
-0 .5185 n.6776 n.1047
-0.1667
?.6811 b.0024 1 .0264 n.6621
0.7916 0 . 8 4 l b
-1 .4167
4 . ' 2 9 1 9
1.1599 0.. 4281 0 , b946 0 .2162
a. 6625
0.1885 0.2285
0.8097
2
0
12
4
12
0
20
0 .0000
1 .0000
0.0000
-0 .5155 0.6798 0.4999
-0 .1661
2.6RSl 5.9698 0 .9769 0 .6616
- 1 . 4 i a 4
0,8210 0 .7748
-0 .2927
1;143? 0 . 4 l S 8 0 .4111 0 .2187
0 .6618 0;80s¶ 0.1782 0 ; z z r ~
z 0
12
6
1 2
0
21
0.0000
1 . 0 0 0 0
0.0000
- 0 . 4 8 8 0 0.6145 0.45I?s
-0 .1591
2.5709 9.7472 1 . 1 6 2 8 0.6440
-1 ,2955
0 .6476 -0 .02770
1 . 0 9 4 0 0.5526 0 .02363 0 .2175
0 .6520 0 .7498 0 .2425 0 .2226
0 . 4 1 0 8
2
0
16
2
16
0
22
0 .0000
1 .0000
0.0000
-0 .5075 0.673R 0 .5010
sn.1616
2.67A5 3 . 9 7 7 1 1 .0346 0 . 6 5 9 8
-1.39Ad 4.7809 n .8600
-0 . 2849
1 .126s 0.4295 0 .4970 0 . 2 1 3.2
0.66no n . 7 9 3 8 n . i a n 6 d . 2274
2
0
?O
L
2 0
0
23
o:onoa
i ;ono0
o:onoo
7 ? ? ?
2.9469 1, ? ?
-1 .3333 O ; ? s b s ? ?
? ? 7 ?
7 ? 1 ?
1
1
0
0
0
0
26
o':oooo
1;'0000
0,0000
32
- 1 0 . 6 5 5 3 mlO,7603 810 .7217 -30;?090 -10 .6222 -10.6820 -10 .7057 mqn':bRSZ -10:637S ~ 1 0 . 4 9 2 4 2 , 6 8 2 0 6 2 i 0 3 2 7 0 2 . 1 3 2 i b 2'.1lQb9 1.74657 1.96289 2 .27058 9 .62950 2.57813 2.64415S 0.65924 -o,os477 0 . 0 6 6 ~ 7 0.05816 4 . 3 7 6 4 7 - 0 . i r 7 3 8 0 .2178s n . S t b 2 2 0;1i%62 0 . 6 2 4 5 6 t
~ 2 . 0 7 6 8 0 ~ 2 . 1 0 3 6 7 ~ 2 . 1 1 6 7 9 ~ ~ 2 . 1 2 1 ~ 8 - r . 1 0 8 2 7 ~ 2 . 1 1 6 8 0 - 2 . 1 2 i t 7 - 2 . i l R n I -2 .91637 r 2 . 0 8 2 n s
-0.72690 - 0 . ~ 2 9 6 9 ~ 0 . 2 7 6 n 7 n0 ' .27 is3 -6.55.489 u0 .s7860 - 0 . i B a s 8 8n.40678 -0.OS590 - , l o 5 8 7 4
ia.62600 1 . ~ 5 3 2 2 4 i , 3 4 1 7 ~ i .33959 i ,29664 i .3?357 i . 3 3 s 3 8 1 . ~ 7 i a i .3n046 i .362982 -2 ,82816 -2 ,92761 82,89837 m Z . 8 Q S 8 5 1P.95963 w2.92(63 -2 .86615 0 2 . 8 S 9 5 7 - 2 . 8 0 6 S l *2..83396
-0,02219 -08,05805 s o . 0 6 8 6 S sO.06815 -0.10327 -0 .06891 -0 .03126 o O . O l T R 5 w0.00?78 ~ . 0 2 6 5 8 9
-2 .059S3 -1.,89078 m1.93.66~ mi;9S2so, -1 .7180 - 1 .E6521 -2 .0060s -2 .07171 .12.121t8 .2:06S97 1,,14OSO 0,85206 0.89341 0.8Q107 n..69197 0 .81269 0 .96052 1 .02736 1.09245 1 .119566
-0.79112 . 0 , 9 ~ 7 8 s ~ 0 . 9 1 0 i 8 go';9ins9 - i . o 2 6 s 3 -0 .95694 - 0 . 8 6 ~ 3 5 en .62775 -0;78026 w.76S624 - 0 . S 2 4 0 2 - 0 : , ~ 0 2 9 6 - o . s l S b 8 0 . 3 i 4 s s -n.27427 -0 .29816 -0 .32747 s n . s m 8 n -0.S4727 - .ss3989
0;6627i O ~ , ~ O J L J 0.56265 0::56as8 0.68660 0 . 5 2 9 ~ 4 0 .58919 0 . 6 1 7 ~ ~ 0.64219 0 . 6 5 0 ~ 8 7 0,22572 0 ,10356 o . i z 9 i ~ 0;12a28 0 .05969 0 . i n 6 9 7 0 .15219 n . i T o 8 5 0 .19199 0 . t i 7 0 i i
2.61672 2;57896 2.99736 2'.98809 2.54526 2.56852 2.61155 2 .65461 2.65710 2.591655 3,9?526 3*,96598 3 .9583s 3,';99i26 3 .83608 3.90?20 3.98S72 4 . 0 0 6 7 0 4.01672 3.985065 1 ~ , 0 1 5 0 3 1$67672 1 .b2761 i;62577 1.62982 1 .5n803 1 . 3 4 9 4 7 i . 2 6 0 7 6 1.19118 1.0918n5 0 ,66191 0 5 , 6 3 6 0 ~ 0 . 6 6 2 7 ~ o:;6bsas t1.63740 0.66007 0 .64677 n . 6 4 o s 2 0 .65693 0 .635223
r1 ' .56065 -1;.b7150 ~ 1 . 6 5 0 5 2 .i;66a95 -1.56565 -1 .47444 -1 . 4 2 i z 7 w i .s936b -1 . 5 6 ~ 8 6 -1 :36noo 0,75055 0;82186 0 . 8 0 6 ~ 9 0;80306 0.88460 0.8.1SJo 0.77920 n . i 5 8 0 n O.?S970 0.762183 0.80890 O.,7Sl56 0.154~6 0.75210 n.73413 0.74299 0 .76097 n .76917 0.77g41 0.800801)
-0',2769b -0 ,28375 90.28281 mi~;28598 -0.29165 -0.28799 -0 .28621 en.27617 -0,'2722S r . 2 6 9 9 6 0
1 ,10590 l:,Ob396 1 . 0 5 6 ~ 1 i , o S r z o n.98597 i . 0 2 8 b s 1 .07576 i . o Q 5 6 b i . i i i 9 0 1.091607
0.51426 0 , 6 0 5 5 4 0.58769 0~.386s7 6.66162 0 .61693 0.59861 6.S2961 o . lo128 0.660928 0 ,20609 o.19636 0 . 2 0 0 i 7 0.20009 0.18721 0 .19566 o . z o s i 6 n . 2 0 ~ 8 6 0.21159 0.267122
0 ' .64202 0;6356S 0 ,64037 0:,'63903 n,.62893 0.6S163 0 . 6 4 S 6 8 n.668PQ 0 .65142 0,636574 0,79666 0.,80264 0 .80296 a;'aoi71 n . ? a 8 4 1 0 .79723 0 . 8 0 ~ 3 5 n.80519 0 .80o62 0 .801008 0',19631 0.,27563 0.26660 o';26585 n'.30657 0 . 2 ~ 2 0 9 0 .25105 n.236n2 0.22185 0 .206624 0'.22SbO 0 , ,22 i73 0.22S21 0;,2zs66 n.22116 0 .22269 0 .22618 n.2268n 0 . z ~ n 6 6 0.220S39
~ 2 . 0 7 7 0 1 w2',16904 ~ 2 . 1 4 6 3 4 m2,'16002 -2.13616 -2 .14082 - 2 . 1 3 5 8 1 -2 .12774 .12.11622 -2.-09358
-0 .65566 -0,66S07 80.66696 00.66566 - 0 . 6 6 6 6 8 -0 .66587 -0 .66682 mn.6612L -e0.66096 * ,659465
0 ,63989 0.31990 O.S716% 0'.'3?008 6.27584 0.3S175 0.40S12 0.bS12S 0 .45677 0 .038577
2 2
0 20
12 7
4 3
26 36
0 18
129 21 7
0 ,0000 O ~ . O l O O
2 .0000 2 ,0000
0 ~ ~ 0 0 0 0 0 .0100
T A B L L 7 m 1
2
2 0
7
S
42
1Q
218
o . o l 6 n
2 .0000
o . o l 6 n
2
20
7
S
66
20
219
0'. 01 00
2.0000
0;0100
2
20
7
S
66
20
220
0.0100
2 .0000
0 .0060
2
20
7
S
66
20
221
0.. n i oo
2 .0000
0 .0081
2
20
7
S
66
20
222
0 .0100
2 .0000
O' . 'Ol 20
2
2 0
7
S
66
20
7 2 s
n':oi nn
2;onoo
o ; o i r n
2
20
7
S
66
2 0
224
0:0100
2';oOoo
0.~0700
2
0
15
5
0
0
19 s 0.0000
2 :0000
0 .~0000
1 1 1 3
-10.4661 -10 .1280 2.66072 2 , 0 0 9 0 0.62696 0 ,3980
~ 2 . 0 8 0 6 1 ?
W O . 1 1 077 0 ,0905 ~ 2 , 8 3 1 9 0 -2 ,8970
1 .36140 1 ,31?3 -0'.02540 ?
-2(, 06607 -E., 0542 1.,12161 1;0148
-0.76S59 ~ 0 , 8 1 9 0 WO: S S S t l ?
w2.09165 ? 0 . 6 5 S 9 S ? 0.21739 ?
- 0 . 6 5 9 0 6 ?
2.99010 2,2849 S.98321 4 ,0180 1 , 0 8 1 8 z l', 21 23 0 . 6 5 6 4 0 ?
~ 9 . 3 5 9 3 5 -7+,1162 0.7654b 0 , 6 7 5 9 0 . 8 0 1 6 1
-0 ,26968
1.09269 0 , 4 3 8 3 3 0,46037 0.20129
0.63824 0 ,80042 0.20580 0,22066
0 ,7776 ?
l?, 0 4 8 4 0 , 6 1 9 1 0 ,1892 ?
7 ? ? ?
2 2
0 22
15 1 0
3 3
15 s o 2b 2 1
b69 6 2 2
0 .0600 0 .0000
2 .0000 2.0000
0,0000 0 .0000
T A B L I 1 m 2
15
w ~ O - . 2667 2 . 5 4 6 s ? ?
0
? ?
? ? ? ?
T T ? ?
2.5b63 4 ? T
-1 ,3337 0 . 7 5 i 5 T ?
? ? T ?
? T ? 7
s2.?¶!35
1
1
0
0
0
0
t?
0 : oooa
2 . oocin
0.OOna
33
TABLE 7-2
34
P L A N P O R H 1 MODE S E T 2 MaO,8000 K=O,U
1 3 8 11 11 1 3 23
0 2,072 1,805 0
0 -0 , 9052
o, 4148 C
0 0 , 4398
-0 ,O lZ lL 0
0 0 7330 0 : 3886 0
? ? ? ?
7 ? ? ?
? ? ? ?
0 2,8122 T 0
0 -0,8791
T ?
I T 1 P
0 T 1 T
2,812Z 1 , 5920 1 P
-0,8791 0 ,'7666 1 1
0 T I P
TABLE 8
7
7 0,69>30 0','698 T 0,69619 1 1 7 0,27378 0;'286 1 0;27733 ? P ? rOl1b4S0 -0';156 T -0,16225 f T ? 0,23676 0;2S6 0,23715 ? T
5 2
11 0
22 1 2
8 4
3 26
0 0
194 130
0,8000 0,8000
0,000w U , O U O l
0,0000 U , ~ U O O
T A B L e 8
2
20
1 4
5
36
i a 212
0'; 8 0 0 0
0;0010
0,0100
2
0
15
3
0
0
39 8
0,eoou
0,000u
o;ooou
2
0
19
I
15
24
470
0 ;eouo
o,oou1
o;'oouo
2
22
l U
3
30
21
623
0 ,a000
O,*UOOl
0,.0000
2
0
I 1
0
95
0
684
0 , U000
o,uooo
0,uooo
35
TABLE 9
PLANPORH 1 MUDP. S @ T 2 H ~ 0 , 8 0 0 0 KmO';l
1 3 8 11 11 1 3
- ,007659 m0,00764 -0;'00749 -;U07671 10,00761 mOlU08b 2 ,872 2,81329 2182502 Z"815739 . . 2 ' 8 1 4 9 5 2 8166 1 .800 1.75739 1'.92178 1?772294 l.l.76976 l r 8 2 9 9
m , . O a l 05u m o ; 0 ~ 1 0 4 -0';'00096 - t o 0 1 038 i o ; 001
r ,00477! m O , O U 1 8 4 r0','00519 - 7 0 0 4 8 3 9 m0,00485 - 0 , U 0 4 5 0 , 9 0 4 8 m0,87163 -0;82692 m;876436 10,87587 -0,8858 0 ,4986 U t 5 U U 0 9 0 ; 5 0 8 4 4 0 ~ 5 0 0 1 8 5 0;30223 0,4664
w,OO1180 mOoOU119 -0','0U124 -,U01191 10,00119 T
,.0007880 U,OUU84 0,.00092 0;000822 0,00082 O,UOO8 0,4591 0,42187 0 ' 3 9 0 5 2 O"L2303Y 0 ,42113 '0,4705
-0 ,01354 -U,Ul?J4 e0':02042 -4016427 -0;01618 - 0 , U Z O T , 0 0 9 2 8 6 1 O,OUU29 0;00029 0;000280 0,00028 T
w.091093 mU.UU104 -0;'00099 - ; ' 0 0 1 0 5 4 m0.001u5 ?
9'
2 ,867 2,80845 2','82072 2 i 6 1 0 9 2 1 2 i 8 1 0 1 3 2.8122 1 ,665 1 ; 6 l Z 4 3 1;'70946 1 j 6 5 2 7 8 6 1 ~ 4 4 9 U 2 1 ;7S l2
0 ,7148 0 , 6 9 3 8 6 0,68974 0'!694627 0,69437 1 ~ 0 , 5 1 3 5 mOI5L156 -0,45686 - 533259 m0,53787 .m0,4101
~ 0 , 9 0 2 3 -0 ,87624 - 0 i 8 2 3 9 6 -;'871061 r0 ;87310 mO.,8834 0 ,7267 0,73430 0;'77364 0;"13b216 0;73635 0,6879 0 , 5 0 4 3 0,48729 0;52104 0;484447 0 ,083UT 0,4929
~ 0 , 1 8 9 8 mo,lBu42 mO'i16752 -0 ,17917 m0.17897 T
~ 0 , 9 8 5 7 1 mOIU9228 - 0 : ~ 1 0 2 6 0 m,090.467 m0;09041 mO,U906 -0 ,09486 m 0 , 0 3 3 5 6 -0 ,00976 - ,030143 mO;'O3OU8 -0 ,0272
0 , 4 5 8 4 u , w 3 4 0;'39ooa 0,422525 0;42261 0,4200
0,08579 0 ,06118 0','07306 O';U80766 0,08077 9
0 ,7314 0,69402 0;69610 0;'69324U 0;'695UO 1 0 ,5027 0,28499 0','29714 0;'289352 0;28847 ~9
~ 0 , 1 5 4 9 m0,15731 -0','14780 r;154427 rO;'15496 9 0 ,2920 O,Z3638 0;'23560 0','256845 0,23677 1
5 2 2 2 2 z 11 0 20 0 0 22
22 1 2 14 15 15 1 0
3 4 5 3 1 3
0 26 56 0 15 30
P 0 18 0 2 1 21
195 131 243 399 471 624
0,800U 0 , B U O O 0,800U 0 ,800U 0,8000 O0+8000
0,100u U , l U O O 0 ~ 1 0 0 0 0 , ~ O O U 0 ; loUo 0 ,~1000
0,000u u,uuoo 0,0100 o;ooou 0;oouo 0,*0000
T A B L E 9
36
P L A N P O R M 1 MUOe S E T 2 Mfl0,8000 KWl.0
1 3 8 11 11 1 3
-0,9422 00,67680 -0,*88682 *,1)84440 -0,87958 -0,9820 3 623 3,72&69 3371863 3 '706396 3,70549 3,6527 1:64l 1,59197 1,79581 1:607256 1;60lJ5 1,705S
10,1489 w0,1311S -0;12863 mi132347 -0,13131 1
r0 ,6417 n O , 9 4 6 3
-0,1002 - U , l l Z 6 4 *0;11773 m','110331 -0,11047 1
s0,5UU26 m0,*52254 n,.503383 n0,50144 -0,4759 110,9t~318 -0,187064 n 'YO0715 -0,89693 -0,9562
0,7343 0,634J3 0,84837 U~1) lBbPU 0,82167 0,7679
0,03415 0,05$09 0 ; 0 6 0 8 4 0,'09226U 0,05231 0,0518 0,4281 0,38600 0 '33631 0 '391344 0;39118 0,3899
*O,n7324 -0,10603 -0:10866 m:101487 m0,10170 1 0 , 1 0 6 2 0,01530 0,01843 0,*01773 0;017446 0;01746 ?
.0.1541 00,13120 *0;13092 -;134411 r 0 , 1 3 3 4 3 1
TABLE 10 ~
3,102 3,21642 3';22968 3',*206784 3;20661 3,1930 1,745 1,66>14 1',*75901 1;[bb1101 1,65515 1,6939
nO,4786 m0,64013 -0;'!53936 1,611295 m0';61451 -0,5208 0,7606 0,79636 0','75184 0,755769 0;75547 1
10,8042 ~ 0 , 7 6 6 2 1 -0';71695 w','764137 wO;76165 -0,8026 0,8205 0,95170 O'i98881 0,917715 0;'920111 0,6701 0,3220 0,32564 0,36570 0,324609 0,32227 0,3527
n0,1543 a 0 , 1 4 1 Z ~ -0,12791 m'i139917 mO.13935 1
o , ~ 0 4 8 0,37558 O ' ; S ~ J S S o; 's77is3 o';s7707 0,3761
0,02060 0,03U74 0','06obl 0,032825 0,;03292 0 , 0 3 6 6 0,07344 0,06571 0,05661 0,066502 0,06628 1
0,779,7 Q,7?863 0,76212 0;'756971 0;'75675 ? 0,1)119 0,27332 O'i29199 0;279873 0,27791 1
0,2573 0,26547 0*;26456 0;244996 0.;24499 1
n0,0?1lY mO11Ub49 -0','11338 -';lo1849 -0,10200 -0,1028
-0,1311 mU115Yb0 *0','14758 -',*151115 -0,15161 1
5 2
11 0
22 1 2
3 4
9 26
9 0
196 l Y 2
0,800U u,(1000
1,ooou 1 ,uuoo
0,000u u,uuoo
T A B L E 1 0
2
20
14
3
56
1 8
244
0,8000
1 ;oooo
0,oq 00
2
0
15
3
0
0
400
0, 8000
1,ooou
0;-0000
2
0
1 3
3
15
24
172
0 , 8000
1 , 0 0 0 0
0; 0000
2
2 2
1 0
3
30
21
625
0 , ~ 8 0 0 0
1 , ~ O O O O
0 , 0 0 0 0
37
-0,8731 3, 7071 1,5810
-0,1308
m0,8969 0,82S6
.O,5013
-0,1111
0 , 5 1 8 3 - 0 , l o s 5
0,0180
=0,1308
-O,O,32
3,2096 1,6371
-0,6Z71 0,75611
=O,76S6 0,9203 0,3167
0 , O ) S l
;;%:
-0,1612
0,3359 s0,1039
0 , 0 3 8 4 0,0660
0.7563
2
0
11
1
71
0
998
0, 'aooo
1 ,0000
0,9000
37
TABLE 11
P l A N P O R M 1 I-loDE S E T 2 M'0,8000 K12';U
1 3 8 11 11 1 3
12,592 81,44792 -1,35977 -2,20260 -1,42813 w1,616S
0,5718 0,19875 0',54281 0:823276 0;55295 0:5136 RO,4140 s0,11)485 -0.;17410 -;'470445 -0,18831 1
m I , 0 0 4 ml,2ZY10 s1';47P39 m','57525Y r1;15625 -1,426S -0,3459 O,OSY35 0;09491 ~ " 7 0 6 4 4 0 wO,OSb14 -0,1586
0,7974 0,96759 1;05885 0 ' ! 3 8 4 5 9 3 1,01168 1,0054 ~ 0 , 1 8 8 5 ~ 0 , Z l S 8 0 -6,24243 *','120115 n0,236US 7
n0,1587 mU,lU000 -0','07724 -',.065260 rO,O22UZ -0,0251
1 * 0 , 0 4 5 6 ! m 0 , 0 b 4 5 3 10';09406 -;'042916 m0;12331 -0,1228 -0,3118? m0,0U735 -0','00750 r,001124 0,00718 7
.0,4277 a0,18467 m0',*16213 -;'4372aY a0,19141 7 1 ,001 u197YQ6 I " 0 5 8 5 5 O"602171 1,03015 7 0,1070 0,015S3 0':08293 U't183169 0,05223 ?
10,2379 -0,17662 -0';17510 n;250371 -0;18136 7
4,587 4,07460 3 ; 2 2 m 2 - 3 8 1 ~ 5,12284 s 2196
o , ~ s 6 i 0 , 2 s r i 7 o ' ; i m i u 0;*240220 o ; z w a 0,2263
3 , 5 8 0 3,64b77 3';88454 1','939847 3,76199 5,6579 1,014 0,51106 0;'60236 0,974587 0,53467 0,7174
mO,1371 ~ 0 , 3 0 5 0 1 m0';31320 0,035091 r 0 . 3 8 l Y 2 -0,3567 0,7824 0,76632 0;80409 0,477694 0,78158 7
-0,3672 m0,14712 10';06398 - ; 5 0 9 0 5 4 w0';16406 -0,2268 0,6330 0,75361 0';87031 0','350288 0,81507 0,8385
0.002341, m0,07020 .r0;'01844 0;103117 w O ' , O l l S O 0,0182 ~ 0 , 0 5 9 1 ~ 110,01064 0';00349 -;092145 ~0' ,01,496 ?
0,3682 0,30824 0,26050 0';244098 0,29800 0,2930 0,02671 0,00254 .0,01074 -"00648Y ~ 0 , 0 4 1 3 7 -0,0408 0,09880 0,11978 0,12416 0:047982 0;'09411 0,0976 0,0624U 0,046S6 0';04205 0;060326 0,04736
0,8049 9,76636 0;81717 0;497666 0;79182 0,1670 0,09754 0;'07286 0;195003 0,06799
-O,@544L mU,O5627 ~0';06S51 -,006159 a0;07044 0,2534 0,23781 0,24641
5 2
11 0
22 1 2
n 4
0 26
9 0
197 133
o;aoou u , t ~ u o o
2,ooou P , U U O O
o;ooou 0,0000
T A B L E 11
2
20
1 4
3
36
1 8
245
0 #,* 8 0 0 0
2;0000
0,01 00
0: 19 4291
2
0
15
3
0
0
401
o;8ooo
2,0000
0';OOOO
O i 2 4 2 1 b
2
0
1 9
3
15
2 4
47s
0'; 8000
2 ; o o u o
o;oouo
I
1 1 9 1
2
2z
1 0
3
5 0
21
626
o,-aooo
2 ,.oooo
0 , ~ O O O O
38
P L A N C O R M 1 MODE S E T 2 Mn0,9500 KnO;U
3 8 11 11 1 3
0 , 0 0 0 0 ~ U,OUUOO - . O O O O O O 0 , O O O O U 0 2,11244 2,82495 2,'814931 2,81414 2;8161 0,91701 1,00117 0,924728 0,92543 0,9534 0,0000u o,ouuoo - , o o o o o o 0,0000u ?
0,OOOOU - 0 , O U U O O e , O O O O O O =0,00000 0
o , i 3 m 0 , 1 3 6 ~ 0 o , i s ~ z s i o , i s 4 8 0 o;ia5r O,@OOOu rO,OU000 - , O O O O O O -0 ,0000U ?
0,0000u 0,ouuoo ~ . o o u o o o 0,00000 0 0,11504 011U3(96 0,111818 0,11181 0,1139
-0,45?4U m0,1ZY87 m.456283 -0,O5599 m0,4606
-0 ,0022i vu,ou264 -:002085 -0,00208 -0,0028 0 ~ 0 0 0 0 ~ ~ , o ~ o o o ~ , ' 0 0 0 0 0 0 0 , 0 0 0 0 ~ ?
0 , 0 0 0 0 ~ o,uuuoo - .000000 0,0000u ?
TABLE 12
0 695SU 0 '69741 0 '696528 0 - 6 9 6 2 9 7 0:18951 0 : 2 0 6 6 6 0:192506 0:19211 1 0,0000u 0,ouuoo - * o o o o o o 0 ,00000 ?
2 , a i 2 4 ~ 2 ,804 -0,6364U m0,596 r'1,1130L -1,142
0,69514 O,b8b
-0,4571U 0,421b 0 , 6 9 5 1 U O,b9b 0,24351 0,296
- 0 , 0 9 4 3 ? m0,086
0,11505 0 , l U o -0,1173U m0, I lZ -0,03089 m0,026
0,0221 U U, UPU
0,6953U 0,692 -0,2339Y -0,228 -0,2856'i -0,292
0,23670 0,25h
2 2
0 2 0
1 2 14
I 3
26 36
0 18
1 3 4 290
0,950U l ' ,Y500
0,0001 U,O001
0,000u U,UlOO
T A B L E 12
2,81415 2;8161 -0,63327 m O ' , S S b 6 -1,14282 m I i o 9 8 3
0,69567 ?
-0,45599 * r O ; b 6 0 b 0,69477 0,6693 0 , 2 4 1 5 1 o ; a m
-0,09358 ?
0,11484 0,1139 -0,11666 m0;'1148 -0,03017 -0 ;030l
0,02199 ?
0,6962Y 7 -0 ,23202 ? -0,28560 ?
0,13715 ?
2
0
15
3
0
0
406
0,9 5 0 U
0 , 0 0 0 0
0 , 0 0 0 0
2
0
15
S
15
24
4? 4
0;9500
0,0001
0,0000
2 1
0 2,8122 ? ?
0 "0 , 4 5 7 5
?
2
22
1 0
3
30
21
627
0,.9500
0;oour
0;'00u0
z 0
11
4.
9 1
U
6 8 1
0 ( 9 5 00
0 ,.oooo
0,~0000
39
TABLE 13
P L A N F O R M 1 MOD8 SET 2 M10,9500 K m O , l
S 8 11 11 13
0.010414 U.OlU53 0.010119 0.01047 0.0096 2 6085U 2‘82U79 2 -810955 2 - 8 1 0 1 3 2.:8125 0:9046! 0:99139 0:912372 0:91102 0;942U 0 , 0 0 3 1 1 O,UU313 0,003169 0,00317 ?
-0,00610 mO,OU62Z - ,006164 m0,00617 -0 ,0060 m0,4518L ~ 0 , 6 2 4 1 9 - ,430678 -0 45036 -0 4554
0 ,14055 0,1451U 0,140584 0:1411$ O y l S l 4 -0 ,@0151 m0,00149 - ,001502 a0,0015U ?
O , @ O l l + O,OU109 0,001125 0,OOllP 0,0011 0 ,11357 0,1U439 0,113347 0 ,11337 0;1129
* 0 1 0 0 ~ 3 3 DO,OUJ76 - ,003213 -0 ,00321 mO,OO39 0,0002(1 O,OUU26 0,000275 0,00017 ?
OIOOJll O,OU321 0 ,003153 0,00316. ?
0 ,18593 0,2U311 0,188878 0 ,18848 7 0,0007C OIOUU73 0,000723 0,00072 7
2 ,80231 2,81404 2.804768 2,80396 2,8065 -0,59543 ~ 0 , 5 1 7 9 4 1,589271 -0,59216 -0 ,1930 - 4 , 1 2 3 7 ~ m1,1S164 -1 i 1 2 2 5 6 -1 ,12331 n l ,O797
o,e935o O , ~ Y S U 0 , 6 9 4 ~ 9 0 0 , 6 9 4 5 1 T
0,6918V 0,66772 0,692666 0,69239 7
0 ,68826 0,69360 0,686807 0,68749 0 ,6624 0 ,2J313 0 ,24650 0,231792 0 ,23094 0;2S99
0.1134U O.lU424 0.113182 0.11321 0;1123
- 0 , 4 5 0 6 0 ~ 0 1 4 2 Z 9 0 “449528 -0,44922 -0,454Z
-0,0923! m0,08956 - ,091723 aO,O9162 7
m0;11070 mO;ilU62 -;114127 - 0 ; 1 1 4 i u r0 ’1124 -0,0283! m0,02332 - ,027756 -0 ,02769 mOt0277
0,02164 0,01942 0.021532 0 ,02133 7
0 ,8920? 0,69398 0,693281 0,69303 1 -OI2ZS7I -O,ftUO6 - .220968 -0,22176 ? m 0 , 2 8 0 0 ~ mO,Zcl06& - ,279775 -0 ,27989 7
O,Zf57Y 9 ,23498 0,236248 0,23617 1
2 2 2 2 2
0 Y O 0 0 22
12 1 6 15 15 1 0
4 3 3 S 3
26 36 0 15 30
0 1 8 0 24 21
135 251 407 475 628
0,950U 9 , 9 5 0 0 O’i9500 0,950U 0.95UO
0,lOOU U,lUOO 0,1000 0,lOOU 0,lOUO
O,OOOU U,UlOO 0;0000 o;ooou 0;00u0
T A B L e I S
40
Pl,ANFORFl 1 MIJOE S E T 2 H~OI95OO KW1';U
3 8 11 11 1 3
0,59984 0.63242 0.617512 0.61703 0.5891 2,29895 2 ; 3 w i 4 z , s r o i s 9 z ; s [ n 9 i ~ I N Z 0 , 2 5 0 4 Y 0,31220 0,265874 0,26522 0,3020 0,14990 0,13969 0,153716 0,15351
r0.18430 00,17232 - ,19037l 70,18976 00,1937 nO, '78684 n0,04104 0,071107 -0,07085 n 0 , 0 8 6 0
0,1754V 0,19431 0,191866 0,19159 0,1944 Q-0,02831 r 0 , 0 2 4 5 0 m.02946J - 0 , 0 2 7 5 3 7
O,q,2250 0,01026 0.025064 0,02303 0;0219 0,0611U 0,05LQl 0,055692 0,05582 0 0551 0,03171 0,0Ud68 r .001897 -O,OOl8i! -0:0026 0 . 0 0 ~ 4 ~ 0,uuLia 0.00361r9 0 , 0 0 3 6 5 7
0.14999 0.19373 0.153152 0.15302 7
2,11407 2,11716 2,118243 2;11640 2;1557 m0,47090 ~ 0 , 4 9 1 0 0 -~,496237 ~ 0 , 4 9 6 0 7 00,4500 mO,J055U 00,36054 m.323627 a0,32246 00,3539
0 . 4 s ~ ~ u , ~ u u 8 2 0 , 4 8 9 ~ ~ 9 O , ~ I O I
r0,128SW oUIU9US5 r .116649 -0,11660 00;1266 0,27063 0,26650 0,283559 0,28270 0,2885
- 0 , 3 8 2 9 3 0 0 , 0 9 6 8 ~ 1,089277 -0,08971 00;0794 -0,"183L -0,01159 - ,019744 -0,01576 ?
0,06414 0,03781 0,060458 0,06057 0,0601 r 0 , 9 2 2 5 > u0,015&8 -,024410 -0,02431 -0,0236
0,01124 0,01339 0 , 0 1 ~ 5 2 3 0,01450 0,0151 0,0106Y O,OOY63 0,009822 0,00984 ?
0,4845? UI4U133 0,487073 0,48666 1 m0,15134 a0,15623 m.135204 -0,135'14 ? - 0 , 0 4 6 0 0 00,05>95 m,O50273 -0,04997 7
0,18180 0,18057 0,182482 0,18241 1
'11:
i! 2
D ZO
1 2 1 4
4 3
26 36
0 1 8
136 232
O , F 5 0 U 0 , 9 3 0 0
1 .ooou 1 ,U000
0.ooou u,01(?0
T A B L C 1 4
2
0
15
3
0
0
408
0';9500
1 ;oooo
0 '; 0 0 0 0
2
0
15
3
15
24
476
O','Q 5 0 U
1,000u
0,0000
2
2 2
1 0
3
3 0
21
629
0,9500
1,oooo
0, 0000
1
TABLE 14
1
41
TABLE 15
P L A N F O R M 1 NUDE S E T 2 M0O,Y500 Km2,U
J 8 11 11 11 I 1
O.bk414 0.67Y05 0.624076 0.62152 0 ; 6 4 3 8 4 0.63761 0
1 11 I S
73925 0 ; 6 4 3 0 6 0,5394 2,99451 2; lUaOl 2.067467 2;0564? 2,11438 2,08451 2 09973 2;'10535 2,0929 0,17550 UI19Y20 0.162003 0,1614d 0';18152 0,16704 0 12573 0;1804S 0,1890 O,1113f( O l l l Y 2 8 0,128150 0,12760 0;'13744 0,13269 9,11784 O;lbU30 ?
- 0 . 2 0 1 7 ~ 60.23913 -.258204 mo.25906 oo.287Y9 mO.28107 -0,25182 ~0 ' ;28422 .0,2587 -0;10541 U;U2026 0;011013 0;01028 0 0 ; 0 0 4 ? 6 -0;U0212 0;00768 .0';00977 10,0025
- 0 , 3 4 5 7 5 ~ 0 , 0 3 7 5 9 1 ; 0 4 0 7 8 3 - 0 , 0 6 0 4 6 -0,06734 -0,04631 =0,04793 m0.04622 7 0,12142 0,11980 0,121676 0,12035 0,12281 0,12129 0,11358 0,12180 0,1237
0 , 0 3 6 5 9 0,02278 0,027252 0,02687 0;03714 0,05579 0,04196 O;OJb75 0,0242 O , C 5 4 0 3 0,0>019 0,048901 0,04896 0,054?5 0,05119 0,09197 0 ; 0 9 4 4 5 0,0488 0 , 0 0 0 9 ~ U,00431 0.901570 0,00167 0;OOldO 0,0U109 -0 ,00250 0;00115 0,0014 0 ,0?7 l? 0 , 0 0 4 6 4 0,005060 0,00503 0,00716 0,00667 0,00664 0;00?09 ?
0.14123 0.10371 0.131016 0,13077 0.13741 0,13539 0,12511 0;'14029 ? 0;4757f Ui48708 0;479086 Oi47339 0;182Z2 0,47809 0 , 4 8 l O l 0';17828 I O,Q398Q 0,06723 0,041129 0,04100 0,04185 0,03995 0,03965 0,06127 ?
-0,02190 sU,02>33 ~ , 0 3 0 9 5 6 -0,03010 -0;02691 -0,02974 -0,04424 s0';02159 I
1,8126f 1 ,U1623 1,801125 1,79308 1,82005 1,81217 1,79507 1';82056 1,0260 -0,0012a ou,uu810 m . 0 8 8 5 ~ 2 -0 08819 m0;08080 ~ 0 , 0 9 2 2 1 -0,14182 ~ 0 ; 0 8 8 9 4 oo,054s . r0 ,?862U 00,08747 w.079854 n0:37835 00,08760 -0,08150 mQ,l0813 -0;08725 -0,0787
0 , 4 3 0 6 4 O , k S 5 0 5 0,428979 0,42778 0,43530 0,43276 0,43J15 0;4J230 ?
-0,06871 00,05494 w,O63483 - 0 , 0 6 5 7 5 -0 0.1306Y 0,11723 0;12260U 0,12138 0
- 0 , 0 3 0 3 C ~ 0 , 0 3 7 1 5 r ,037151 nO,O3696 -0 - O , O l 6 4 ? mO101b62 1,016388 r0,01647 -0
0 6 8 4 8 -0,06908 -0,06711 -O,Ob684 10,0719 13209 0,13037 0,11759 O,lJl55 0,1241 03036 ~ 0 , 0 3 2 5 0 -0,03841 rO ; 'O~V1J 60,0339 01644 ~ 0 , 0 1 7 2 5 ~ 0 , 0 1 5 9 2 00;01627 ?
0,0345U U105333 0,955195 0,05317 0 055U4 0,05391 0 ,05244 0 ; 0 5 4 8 8 -0,0104Y 6 u , U u k Q 3 m,007110 -0 0 0 6 9 8 00 01054 - 0 , U 0 9 4 6 n0,0134b nO"01045
0 . 0 0 3 5 0 0,0u564 O.OOf1961 O:OOY91 0,00359 0 , 0 0 ~ 8 4 0,00294 0'!00153 0,00941 U,UUY02 O;OO9lY8 0,00950 0,00932 O,UO961 0,00969 0;00944
0,4300? 0,4Y920 0,4310YO 0,02976 0;'03516 0,63296 O,bd981 0,63196 *0,01880 n0,0139) -,015110 -0,01512 n0,01?09 -0,01667 -0,01549 r0;01804 -0,01347 m0,01S76 w,012502 -0,01233 -0,01385 -0,01292 00,01689 m0;01$69
0,19570 0,19859 0,195569 0,19525 0;19594 0,19516 9,19198 0,'19h37
2
0
12
4
26
0
137
0.950U
2,ooou
0;900u
T A B L E 1 5
2
2 0
1 4
3
36
1 8
233
U , Y > O O
Z ,O000
u,0100
2
0
15
3
0
0
4 09
9 ', 9 5 0 U
2,ouuo
0;. 0 0 0 U
2
0
1 5
3
15
24
477
0,9500
2,ooou
o';ooou
2
0
15
I
15
24
737
0,9500
2 , oou0
0,0000
L
0
I 5
6
15
24
738
0,,9500
2 , ~ O U O O
0 , 0 0 0 0
2
95
15
6
15
2 4
7 39
0,9500
2 , U000
0 , 0 0 0 0
z 0
23
4
23
24
7 4 0
0,9900
2 ,,* 0 0 0 0
0 , O ~ O O
0,0534 ~ 0 , 0 0 6 5
0,0061 ?
I ? 7 ?
2
22
1 0
3
30
21
6 3 0
0 , 9 5 0 0
2 , 0 9 0 0
0.0000
I
I 42
P L A N F O R M i M O B E S E T 5 ~ = o ~ . ~ n o o o ~ m 0 . 0
5 8 11 11 12
0 .00000 -0 .00003 -.OaOOnn no.0Onno n 0 , 5 8 4 a l 0 . 3 0 2 5 0 0 ,585229 0.38S19 n.5819
0 .60000 - 0 , 0 0 0 0 0 -,OaOOnn ~ 0 . 0 0 0 n o n -0 .1805 4 -0 .1 7562 w ,I 79506 -n. 17943 - n . i 8 0 7
0,38481 0 ,5824 ? 0.38519 n.5810 0.53S6S 0.S366 T 0 . 5 3 8 ? 5 0 .5272
- 0 , 1 8 0 5 1 -0.1’156 T - 0 . 1 7 9 4 1 - n . l 8 0 7 0.09619 0.1012 T 0 .09797
2 2
0 20
12 14
4 3
26 16
0 18
130 238
0 .0000 0.0100
0 ~ ~ 0 0 0 1 0 .0100
0 , 0 0 0 0 0.0100
T A B L E 1 6
2
0
15
S
0
0
591
0. ooon
o.oonn
0 .00dn
2
0
15
5
15
2 4
i 7 8
0. ono0
0 ;aonl
0 . oono
14
- 0 0.5860
- 0 -0,1865
0.3860 O . Y b 6 S
-0 .1865
l b
- 0 0 , 5 8 5 8
W O
-0 .1865
0 , 3 8 5 8 0 , 5 5 0 0
- 0 . 1 8 6 1
14
80 0.3856
0 W O . 18?n
0.3856 0 . 9 4 7 i
4 . 1 a?n
14
PO 0 . 3 8 ~ 1
eo; 1 8 4 5
o . 3 8 i n n .5s8s
so.1049
90
Oi09688 0 ~ 1 0 0 4 0:098(r7 0.09792
2
0
8
8
8
0
S 9
o:, 0000
0 ~ ~ 0 0 1 0
0 ,0000
T A o i e 1 6
2
0
12
4
1 2
0
36
0.0000
0 .0010
0 .0000
2
0
12
6
12
0
37
o ; oobn
0 . O O i n
0 .oonn
2
0
16
2
16
0
38
o;.oono
o;oo10
o.oono
0.1019
1
0
0
0
0
0
56
0 .0000
0 .0000
0 .0000
14
-n n . 3853
- n -0 .1814
n. 3855
- n . j a t a
0 . 5 5 9 8
1 4
- 0 0 . SA70
- 0 - 0 . 2 n i 6
0 .5170 0.6020
-0.21-116 0 .1091
14
-0 0.3888
0 - 0 . 2 0 3 7
0 .3888 0.9919
- 0 . 2 0 7 7 0 .1056
2 2
0 0
4 4
2 b
4 4
0 0
so 31
0.QOOO 0.0000
0 .0010 0 .0610
0. nooo 0 .0000
1s
0 0 .5773
0 - 0 . 1 7 7 0
0. 5773 0. ss33
- 0 . 1 7 7 8 n. 09840 0.00658
2 1
0 1
2 0 n
4 n
20 0
0 0
39 50
o.oooo o.nooo
o . o o i o o.nooo
o . o o o o o .nooo
14
-0 O.SR11
- 0 - 0 . 1 ns9
0.3841 0 . 5 s r a
- 0 . i n q 9
2 2
0 0
b n
6 ?
Ir n
0 0
3 9 33
n;onnn 0;nnoo
n : a n i 0 0 :on1 0
o:onaa o:ooOo
TABLE 16
14
- n 0.3861
3 -n. i 880
0 . S86l 0;5519
.n;l BA9
2
9.09851
n
A
6
n n
3b
o :ooon
o :oo i n
o:ooao
15
0 1
0 T
0 . 3 4 n 5
t o . i n s i 1
1
1
2
0
0
0
0
5 4
0 .0000
6 .0000
0.0000
43
TABLE 17
P L A N F O R M 1 M O D E S E T 5 M.O'.*nOOO Ks3.1
3 8 11 11 1 5 1 s
.0.00332 r 0 . 0 0 3 1 9 - .003561 r o . O o l S & -n.0036 -0.ons76 0.39480 0,38226 O.sP510T n.38517 11.377s ?
-0.60001 -0,00008 - . 0 0 0 0 2 n 9 0 . 0 0 n ~ 2 n 0 . ono1 o - o . i 8 0 9 s -0 ,174o i 0.17901'1 m o . i 7 ~ a s -0.1782 7
0.384?9 0 , 3 8 2 3 2 O . S A S Z 0 7 0.38517 0.3773 4 . S A U Z 0 . 5 3 3 ~ 0 , 5 3 6 6 4 0 . 3 3 ~ 5 7 0.53829 0.1333
0.09618 0 .10326 0,09715h 0.09796 0.09630 ? -0.1805b - 0 , 1 7 3 6 ~ 0 . 1 7 9 w a - n . l m c 2 -n.1778 -0.1nsn
2 2 ? 2 1 1
0 20 0 0 1 2
1 2 1b 1 s 1 5 0 0
I 4 1 3 0 0
26 36 n 15 0 0
0 1 0 n 2 1 0 n
139 230 39 s &79 5 1 ss 0.0000 o .o ion o.ooon o.oono o.oooo o.nono
0,1000 0.1000 0. lOno 0 . i n n o o.iO00 0.1000
0.60oo 0.01oo o .ooon o.oono o.oooo o.nooo
T A B L E 1 7
44
TABLE 18
P L A N C O R M 1 M O D E S E 1 5 M*O'..n000 K.1.O
5 8 1 1 11 1 4 1 4 1 1 t 1 l b 11
~ 0 , 5 5 2 9 5 ~ 0 , 5 5 0 3 1 0 , 5 5 5 2 n a -n.39&9!3 -n .1908 - 0 . ~ 0 5 ~ - 0 . 3 8 ~ 9 wn.15A7 -0.3669 sO:S628 0,58597 0 . ~ 7 6 0 7 o , 3 a i 9 i r 0.~8255 17.5820 0.3019 0 . 1 9 1 2 n . 3 7 5 1 o.sano 0:serz
.-o.o0060 - 0 . 0 0 6 8 6 ~ . n n 1 7 1 1 4 . 0 0 1 9 9 n.006183 0 .007667 o . o o i i 6 6 o'.'aos?i? 0 .000777 o.oooiss -0.22114 r 0 . 2 1 9 3 5 - , 2 2 0 4 i 6 r n . 2 2 O 7 8 -n.2200 - 0 . 2 0 7 6 -0.2570 vn .207? - 0 . z s n 5 r0;2267
0.5~363 0.~8231 0.385171 0';38307 -0.3869 0 . ~ ~ 8 5 0.s860 n.!Rn, 0 . ~ 5 1 n;sa40 0.53389 O.sJ183 0,518527 0 ; 5 S u i 1 0 .5830 6.5025 0 . 5 1 6 0 0.5370 0.5521 0:5165
- 0 . 1 ~ 0 0 2 -08.i7685 ~ , i 7 9 0 i ) 7 o o . i ~ a n 9 -n.1907 - 0 . 2 n s i -0.1066 F ~ . i ? q l - 0 ; i a n s 0~~18611 0,09589 0.101878 0 ,097197 0'.09?75 n.07907 o.io60 o . i o 0 6 n.o?;,Os 0 .n9815 O:n9485
2 2 t 2 2 2 2 2 z 2
0 20 0 0 0 0 0 0 n 0
1 2 1 1 15 15 0 L L a m a 4 3 3 5 2 1 6 2 6 A
26 36 0 15 4 on 1 0 n a
0 i a n 2 1 0 0 0. 0 n 0
1 bo 240 596 680 1 0 41 1 2 b t 6 1 1 5
0,0000 0.0100 0.0Onn o .on0o 0.0ooo o.nooo 0.06oo n:onnn o:ooOo 0.0000
1;ooOO 1.0000 1 .OOnn 1.oono i . 0 0 0 0 1.0000 i . 0 0 0 6 i ' i onon l ~ ; o o o o 1.~0000
0.0000 0,0100 0.oIJon 0.0000 0.0006 0.no0o o.0600 o':onno o':oooo 0.~0000
T A B L E 1 8
1 4
0,5416 0.1852
0.2284
0 , 3 8 1 5 0 ,5502
-0.1859
w.001216
1 1
-0,5636 0,5870
0 . O O O M -0.2288
0,5845 0,. 5 L 77
W O . 1 860 0 , 1 0 0 3 Oi09867
2 2
0 0
1 2 1 2
b 6
1 2 1 2
0 0
46 4 7
0 . 0 0 0 0 0 . 0 0 0 0
1 . 0 0 0 0 1 . 0 0 0 0
0 , 0 0 0 0 0 ,0000
T A B L E i a
l b
*O.J491 0 ; 5 7 4 s
0,00606q *0 .2007
O,S79? 0.5201,
.O.l?Ln 0 . 0 7 2 n t
2
0
1 6
2
1 6
0
40
0. oonn
1 . oonn
o.ooon
1 1
- 0 . ~ 6 8 0 ,383s
e~..iooi9i a 0;2220
0.3818 0.3S99
- 0 . 1 8 i n 0..09823
2
0
2 0
4
20
0
09
o.onno
1,0000
0. oono
1s
-n . S556 n . s n s a
-n. 21 84
n.3771 n. ~ S S S
-n . 778 a . 09650
1
1
0
0
0
0
52
0 .0000
1.0000
0.0000
1
45
TABLES 19,20,21,22
P C i N F O R W 1 MODE S E T 5 M'O!:8000 KWJ.0
3 8 I 1 11:
n. o!,noo -0.0000 - . onoooo -0. oo!,oo n.38481 0.3823 0.385229 0.38519
-6.1 an33 -0. I 0416 -. I 07703 -0: 10766 n. Oii000 -0,0000 -. iiOOO00 -0 0 O : j O O
n.38681 0.3823 0.38519 0.31 3 2 4
-n. loR33 - 0 . 1 0 4 ? -0.10'165 0 . 0 4 R 7 3 0.052 1 0 . 0 4 ! , 2 7
n.31130 0.312 ?
2 2 2 2
0 20 n 0
12 1 4 15 15
4 3 1 3
26 36 n 15
0 1 8 0 2 4
1 4 2 246 602 482
0 . 8 0 0 0 0 . 8 0 0 0 0.8000 0 . 8 i ) O O
0 . 2 0 0 1 0.0001 0 . 0 0 0 0 0.0.;01
0.~000 0.0109 0 . 0 0 0 0 0 . 0 , i o o
T A D L E 20
P L A N F O R M 1 M O D E S E T 5 M=O'.'OOOO Km2.0
3 8 11 11 15
- i . 4 i b S a wi.,s9a66 ~ 1 , 6 2 2 7 ~ - i , 4 z i ~ s -1.4222 0,38121 0,35604 0 . J 7 1 0 ~ 0 0 . 3 7 5 ~ s n.3773
-0.ooob1 -0.02586 Y.OOS~I,A -n.oo638 n -6,34268 - 0 , 3 5 3 7 6 s . 3 6 2 7 ~ 1 a0.34263 - 6 . 3 4 0 2
0 . ~ 8 1 6 9 0 . 3 8 ~ 2 8 0 . S 7 9 s 9 ~ o.saoi8 n.3775 0.53396 0.32527 0.5171RI O;SS708 n .5333
-0.11916 -0.18642 S . ~ T ~ O A T rn.1?799 -6.1778 0.09549 0,10024 0,096035
2 2 2
0 20 0
1 2 1 6 15
4 3 1
26 36 0
0 i a 3
1 b l 241 397
o.oooo o . o i o o 0.oc)nn
2.0000 2.0000 2.0000
o.oooo 0.0100 o.ooan T 4 B L E 19
0.09726
2
0
15
3
15
24
& a i 0 . onno
2, oono
0 . oono
P ~ A N ~ O R W 'I MODE S,T 5 Mm0':8000 K - ~ J . ~
3 8 11 11
~ n . o o 2 0 Z -.00199u - .002032 - 0 . 0 0 ~ 0 3 13.38513 0.38260 0.-<85544 0 . ~ 8 ~ ~ 1
qn.o(~n11 -0.00017 - .00014? -0 .00 15 J ~ . I ; A S ~ - 0 . 1 0 4 3 ~ - . i n 7 9 1 3 -o . i o * ta6
0.38199 0.38248 0 . ~ 8 5 4 0 7 0 . 3 8 5 3 7 n.31150 0.31228 0.T13695 0.31312
-n.l,)n40 -0.10421 - . i n 7 7 7 6 - 0 . i o ' ~ n n . 0 4 ~ 7 8 0.05124 0.n19114 o . o k o s i
2 2
0 20
12 1 4
4 3
26 36
n 18
i 43 2 47
o.8noo o.aooo 0 . 1 0 0 0 0.1OOJ
O.l l000 0.01OJ
i # r L e 21
3
n
1 5
1
n 0
401
0.8000
n.1000
d . 0000
2
0
1 5
3
15
24
4 8 3
o . a o o o 0 . 1 3 0 0
o.o,Joo
0.09638
1
1
0
0
0
0
5 3
0.0000
2.0000
r).oooo
PL4NInRM 1 MODE S E T 5 M.O.8000 Km1.O
1 a 41 11 37
nb .2 i284 00,21002 n.213219 .0;21503 -0:;2123 0 . 1 2 6 0 1 0 , 6 1 9 3 ~ O . ~ ? S O A S 0:42513 n . 6 2 6 1
1 ~ 6 . 0 1 7 7 5 ~ 0 . 0 2 0 2 2 w.l)i7a72 10'.'oc803 -0:'6177 an.13135 ~O. lZL l6b - . IT0212 r0;13010 -0:'1309
0.40833 0.60693 o.kn82b6 o' . 'cosib #:'bo81 0 . 3 3 0 1 3 0 . 3 3 0 7 ~ 0.331854 0:3si52 O ' . ' W l
eO.Ii668 - 0 . 1 1 3 3 ~ n.115706 00';11562 -0'.'1166 0 . 0 5 5 ~ 2 0,09775 0.055359 0';05561 o':ns53
2 2 > 2 2
0 2u n 0 n
1 2 j I 15 1 5 11
I 5 T S 6
26 56 0 15 71
0 1 8 n 2 1 n
1 6 4 248 696 h a c 997
0.8000 0 . 8 0 0 6 0 . 8 0 0 6 0 . 8 0 0 0 0 . 8 0 0 0
i . o o o o i . o o o o 1 . 0 0 0 0 1.oono 1:oaOo
o.nono 0.0100 i1.0000 0 . 0 0 6 0 o:ooOO
T A R L E 2 2
46
P L ~ N F O R M 1 MODE S E T 5 ~ n o ~ ~ 8 o o o Ka2.0
3 a 11 11
wn.89101 O0.87674 -.581366 -0.89734 n.71265 0.67972 0.419686 0.69287
-n. 141136 -0,15962 -. 0 5 6 9 ~ 4 - 0 . I 4,196 &1.18600 60.19053 -.132488 -0.18518
n. 56145 0.51708 0.373203 0.55021 11.35590 0.35607 0 . 2 ~ 8 2 5 7 0.35890
h . 1 3 1 7 3 -0.13048 -.099583 -0.13050
2 2 3 2
0 20 0 0
12 1 4 15 1 5
I 3 3 3
26 36 n 1 9
0 18 0 2 4
0 . 0 9 5 0 4 0.09673 0.011381 O.O9i;71
145 2 49 I O S 485
o.8noo 0.8000 0 . 8 0 0 0 0 .8000
2 . a n o o 2.0000 2.0000 2.0000
0. ono0 0.01 00 0 .0000 o.Oiio0
T ~ ~ R L E 23
P L ~ N ~ O ~ M I HOD^ s E l 5 M ~ O ~ : Q ~ O O KW.I
qn.Oirn84 -0 .00083 - . o n o a u - o . 0 0 : ; 8 4 n.38552 0.38298 0 . ~ 5 9 ~ 7 0.38590
4. o3n2O * o . 30021 -. o n o z o l - 0 . oo,r20 - n . o 5 6 5 0 -0.05432 -.os6176 - O . O S ~ I ~
11.38532 0.38274 0.3115738 0.38570 11.14084 0.14142 0 . 1 ~ 2 0 5 3 0 . 1 4 1 8 6
-n.056&6 -0.05426 -.056129 -0.05610 n . 0 2 0 9 9 0 . 0 3 0.029406 0 . 0 2 ~ 1 8
2 2 2 2
0 ,20 n 0
12 14 , 1 5 1 s
4 3 3 3
26 36 0 1 5
0 l a n 24
i 47 255 .41 1 4.87
3 a I 1 11
0.9qOO 0.9300 0 .9500 0.9500
o . i n o o 0.1000 n . 1 0 0 0 0 . 1 : i o o
o.onoo O.OIOO n.oooo o.o:;oo T ~ R L E 2 5
3 a n.Oon00 ~ 0 . 0 0 0 9 0 n. 38181 0,38229
n.or,noO -0 .00000 - n . 0 5 4 3 8 -0 .05012
0 . 3 8 4 8 1 0 . 3 8 0.14074 0.14
- n . 0 5 4 3 8 -0.054 n.02041 0.03
2 2
0 20
1 2 1 4
4 3
26 36
0 18
46 254
0.9qOO 0.9500
0 . ono1 0.0001
O.onO0 0.0100
T f f R L E 24
I 1 11
-. nnoooo - 0 . ool.oo 0.385229 0.38519
-. 000000 -0. oo. ,oo OS6051 -0.05(,03
7 0.38519 7 0 . 1 4; 7 6
- 0 . 0 9 6 0 3 7 7 0.02929
2 2
0 0
15 15
3 3
0 1 5
n 24
01 n 486
0,9500 0.9500
0.0000 O.O~IO1
0 . Oooo 0 . O i i O O
P L ~ N F O R M 1 MODE S E T 5 ~a0'.*9500 K n q . O
3 a 11 11
- n . n ~ 1 0 6 -0.05383 - .053626 - 0 . 0 9 ~ 2 4 n.48055 0.48273 0.486982 0.48696
-n.o3115 -0.03018 - . 3 3 3 2 3 4 -0 ,03326 l n . 0 5 0 9 4 0.04968 - . i152068 - 0 . 0 5 , 8 7
n.45528 0.44949 0.453986 0 . 4 5 ~ 5 2 n . i d 1 2 a 0.10874 0 . i n 5 9 a a 0.10537
41.04990 -0.04783 - .050479 - 0 . 0 5 ( , 3 4 6.04092 0 .05004 0.048702 0 .04876
2 2 3 2
0 20 n 0
1 2 1 4 15 15
4 3 ? 3
26 36 0 1 5
0 1 8 n 2 4
4 8 256 41 2 488
0 . 9 5 0 0 0.9501) n . 9 5 0 0 0.9500
? . o n o 0 1 .0000 : 0 0 0 0 I.O~,OO
O.ono0 0 . 0 1 9 3 o 0 0 0 0 o . o l ) o o T d h L E 26
P O A N F O R M 1 MODE SET 5 MmO:'9500 K.2.0
3 8 I 1 11
ln .01771 -0.00364 - . 0 0 2 1 8 6 -o.00!&8 n.50415 0.49385 0.56975s 0.50697
-n .o6 i25 -0.06023 - .n63327 - 0 . 6 6 2 4 3
n.64776, 0.42938 O.oL5107 0.44315 n. 02652 0.021 47 0,02033(~ 0.02r;ol
30.02181 -0.01482 - .n18067 - 0 . o l i l o 2 n . 0 2 6 9 9 0.02721 0.02798n 0 . 0 2 7 6 5
2 2 2 2
0 20 0 0
1 2 1 4 15 15
4 3 S 5
-0.01167 - 0 . 0 0 4 0 4 - . 007661 -0,00759
'26 ,36 n 15
0 1 8 0 24
i 49 257 41 3 4 0 9 ,
0.9~100 0.9500 0.9500 0.9500
2.oano 2 .0000 2 . 0 0 0 0 2.01ioO
0.ono0 0.0103 n.00on O . O ; , o O
T i n L P 27
P L A N F O R M 2 M O D E S E T 2 wof>nooo m . 0
3 0 11 11
O ' , O O O O O rOr,0008 s.oo0Ohn m o t . O O o o O 2,29625 2,S3129 2 , 3 0 0 2 i ~ z . s o n i 6 ? ? T ?
o,ooooo ro*.onoo4 s.oooonn wn.oonno 0 , 5 6 6 1 1 0 . 5 6 5 9 5 0.5S6561 0 . 5 5 6 9 0 ? 7 T ?
? ? 7 W O . ooono 0 . 0 0 4 A S ? ? T
? t ?
2.29625 2',326?7 ?
? ? ?
0.56hq1 0*,56680 T 1,19749 1..1737 ? ? ? T
t ? ? ? ? T ? ? ?
2 , 3 a 3 5 5 2,41565
2 2 2
0 20 0
( 2 a 15
4 4 S
26 36 0
0 1 0 0
190 258 6 1 4
0,0000 0.0100 0.OOnn
0,0001 0 . 0 1 2 s 0 . 0 0 h o
0,0000 0.0100 o.OOnn
T A B L E 28
?
2,. 5001 6 2 . i 7 2 3 t ?
0.5565b i; 20506 ' , n : o o r 6 s n'.'Oi 560 ?
2
0
15
3
15
24
49 0
0,. onno
0 , ooni
0.0000
41
TABLES 27, 28
48
P L L M F O R M 2 M O D E S E T 2 M.o.nOO0 K~0.5
1 3 8 11 11 14 21
- 0 . 1 8 0 1 rO,17378 -0.17069 - .198775 -0 .19871 -0.2085 r 0 . 1 9 6 8 2 ,202 2,15043 2.q?8?4 2.162019 7.16209 2 .1683 2.1184 0 , 5322 ? ? ? ? 0.5141 ?
m O . 0 7 5 S O ~ 0 ~ ~ 6 7 6 6 1 -0 .61777 ~ . 0 8 5 1 0 7 -0 .08SlO -0 .O l537 ~ 0 . 0 7 1 2 0 0.5396 0 ,17926 0.4759, O.b?104T fi.17110 O.bS83 0.4560 0 , 4 1 9 7 ? t ? ? 0.3052 1
e.OOlO84 T ? ? -0 .00150 - .001104 T 0 .002946 ? ? ? n.OOS03 0.001749 T 0 .009822 ? ? ? ? 0 .000624 9
2,251 2.19991 2 .227?7 2 .217272 7.21724 2.2239 2 .1726 2.537 2,48062 2.31?71 2 .560T77 9.560S9 2 .6050 2.4?89 6 ,07067 T T ? 9 O.OT808 ?
0.5881 0,53049 0,52800 0 . 5 2 7 1 i 4 n.52712 0 . 4 9 4 5 0.4855 1.2JO 1 ,18526 1.202S7 1 .229401 1.22943 1 . 2 2 1 8 1 .1265 0 .08651 ? ? ? ? 0 .00005 T
0 .003928 ? ? ? n.00642 0.002?64 ? 0,01211 T ? ? a . 0 1 5 5 9 0.01114 T 0.005087 ? ? ? ? 0 . 0 6 6 9 0 ?
5 2 ? 2 2 2 2
0 0 20 0 0 5 0
16 t 2 8 1 9 1s 12 12
11 4 L 3 1 4 4
0 26 36 0 15 12 12
0 0 18 0 24 0 4
I
TABLE 29 ~
202 151 259 &15 b9 1 119 118
0 .0000 0 .0000 0 . 0 l n n 0 .0000 0 .0000 0.0000 0.0000
o,sooo o,sooo 0 .5000 o .sono 0 .5ooo o.sooo O.SOOO
0.0000 0 .0000 0 . O l a a 0,0000 0.0000 0.0000 0.0000
T c B L c 29
49
TABLE 30 = i
P L A W P O R M 2 M O D E S E T 2 M-0 .0000 Km1.O
1 S a 1 1 1 1
=0,1LS1 -0 ,81920 -0 .81837 ~ . . 8 9 9 3 i 2 -0.19909 i ,as2 i ,?a900 i ,80071 1 . 8 i 2 ~ 7 4 . a l w 0 , 5 0 9 1 T T 1 ?
-o,s494 m 0 , ~ 5 0 8 1 - 0 . 3 5 7 5 0 0 .377971 - 0 . ~ 7 9 2 O . S l 2 S 0 ,24804 0 ,23207 0 .236210 0.ZSlL6 0 , 4 0 1 s T T
w . 0 0 4 6 2 6 T . . 0 0 0 4 6 0 ? 0.0095?5 ?
2.11a z . o m 9 2 , s ~ 2,51681 0 .08945 7
0.5419 0 , 4 8 5 5 1 1 ,239 1 , 1 9 5 8 1 0 ,09168 7
0 .003687 T
0 .00513 T a .01221 T
5 2
0 0
16 q 2
11 4
0 2 4
0 0
206 1 5 2
6 , 0 0 0 0 0 . 0 0 0 0
1 . o o o o 1 . o o o o 0.0000 0 .0000
T A B L E S O
? ? T
2 .09818 2 .35839 t
0. a78511 1.2112? T
? T T
2
20
a I
36
1 8
260
o . o r n n
1 . 0000
0 .0160
1 7
?
2 .11 1377 2 . 5 ~ 1 7 6 5
0. m s n a ?
1 .233265 ?
9 ? 7
2
0
19
S
0
0
41 6
0 .0000
1 .0000
0.0000
7
?. 11490 ?. 584L9 7
0 . 08749 1.23531 1
0.00L09 0.01562 7
2
0
15
S
1 9
2 1
I 9 2
0 .0000
1 .0000
0 . 0 0 0 0
50 c
TABLE 31-1
PLANFORM 2 M O D I S I T 2 M00.7806 KnO.0
3 8 11 11 1 4 14 1 1 14 14 14
0,00000 -0 .00005 - . O O O O O O -0 ,00000 - .000071 - .000067 - .000059 - . 0 0 0 0 4 2 - .000055 - . 0 0 0 0 5 3 2.36219 2.61435 2.556101 2 .55600 2.6452 2.6071 2 . 5 8 0 3 2 .5713 2 .5823 2 .5756 7 7 7 1 0.6415 0,6316 0 ,6270 0 ,6176 0 .5937 0 .5873
0.00000 m0.00006 - . O O O O O O - 0 , 0 0 0 0 0 0 .000061 - . 0 0 0 0 5 5 -.zOOO051 - . 0 0 0 0 3 6 - . 0 0 0 0 4 6 - . 0 0 0 0 4 4 0.67638 0.68867 0.686590 0 .68742 0 . 5 6 3 0 0.5443 0 .5776 0.7240 0.6149 0.6220 ? 7 ? ? 0 .4994 0 .4955 0 .4981 0 .4765 0 .4852 0 . 4 a o a
? 1 ? -0 .00000 - .000001 - .000001 - .000001 - .000001 - .000001 - .000001 ? 1 , ? 0 . 0 0 4 3 2 0.000167 0.002593 0.002321 0 . 0 0 3 5 0 4 0 .002496 0.002594 7 ' 7 ? ? 0.009649 0 .01070 0.,009332 0 .008952 0 ,0101 3 0 .009254
2.56219 2.61436 3 2.55600 2 .6052 2 .6071 2 .5803 2 .5712 2 .5823 2 .5756
1 ? 7 7 -0 ,1077 -0,09315 -0 .1068 -0 .07566 -0 .1135 -0 .1154
0.67638 0 .68873 ? 0.68742 0 . 5 6 3 0 0 . 5 4 4 3 0 .5776 0.7240 0 .6149 0 .6220 1 .47970 1 .539aa t 1 .52612 1.'7204 1 .6418 1 .5730 1 .4971 1 .5730 1 .5530 ? ? 1 7 0 .07452 0 .06083 0 .04958 0.05609 0.03689 0 . 0 3 4 6
? 1 7 0 .00432 0 .000167 0 .002595 0.002321 0 . 0 0 3 5 0 4 0 .002496 0 . 0 0 2 5 9 1 ? 7 7 0 , 0 2 0 4 0 0.01744 0.01681 0 .01457 0 . 0 1 4 0 6 0 .01353 0 .01314 1 , 7 ? 7 0 .003096 0.006133 0.005720 0 .002461 0.006901 0.006651
2 .49520 2.38510 ? 2 .55174 2 .9422 2.8286 2 .7048 2.5597 2 .6793 2 .6471
2 2 2 2 2 2 2 2 2 2
0 20 0 0 5 5 5 5 5 5
12 8 15 1 5 4 4 4 8 8 8
1 4 3 3 2 4 8 2 6 8
26 36 0 15 4 4 0 8 8 8
0 1 8 0 20 0 0 0 0 0 0
153 261 420 49 3 85 86 87 88 89 9 0
0 .7806 0 ,7800 0.7806 0.7806 0 ,7806 0 .7806 0 ,7806 0,7806 0 ,7806 0 .7806
0.0001 0,0125 0 . 0 0 0 0 0 .0001 0 ,0100 0.0100 0 .0100 0.0100 0,0100 0 .0100
0.0000 0.0100 0 .0000 0.0000 0.0000 0 .0000 0 . 0 0 0 0 0 .0000 0 .0000 0 .0000
T A B L E 31 - 1
1 4 1 4 1 4
-.000057 - . 0 0 0 0 4 1 - . 0 0 0 0 5 0
0.6094 0.6050 0.6034
-.000046 - . 0 0 0 0 3 3 - . O O O O C 4 0.6165 0.7058 0.6627 0.4911 0.4805 0.4917
-. 000001 -, 000001 -. 000001
0.01275 0.009058 0.01275
2.5823 2.5266 2.5732 2.7153 2.4936 2.6341
-0.1054 -0.08379 -0.1102
2.5823 2.5266 2.5733
I 0.002449 0,004602 0.002851
1 7
0 , 2,561 1
0.6062
0 0,6928 0.5003
0 0.003055
0.01057
2.5611 2,5766
-0.1160
0.6166 0'.7058 0.6627 0.6928 I
0.002449 0.004602 0.02851 0.003055 0.01521 0.01409 0.01471 0.01464 I 0.007128 0.002460 0.006935 0.007427
I
I. 5965 1.4460 1.5640 I, 5 4 0 8 0.01541 0.07305 0.03832 0.03419
2 2
5 5
1 2 1 6
4 2
1 2 16
0 0
9 1 9 2
0.7806 0.7806
0.0100 0.0100
0 . 0 0 0 0 0.0000
T A B L E 31 ' - 2
2 2
5 48
20 15
4 3
20 15
0 0
93 70
0.7806 0.7806
0.0100 0.0000
0.0000 0.0000
1 7
0 2.5594 0.5900
0 0.6504 0.4a15
7 7 7
2,'5594 2.5966
-0,1102
0.6504 I. 5261 0.03564
7 ? 7
2
38
15
3
1 5
0
7a
0.7806
0.0000
0.0000
23
0 2.5219 7
0 0.7168 7
7 1 7
2.5219 2.6364 7
23
0 2.5597 7
0 0.6665 7
7 7
. ?
2.5597 2,6983 7
0.7168 1.5542 7
7 7 7
2
8
15
3
31
0
686
o ..7ao6
0 . ~ 0 0 0 0
0 . 0 0 0 0
0,6665 1.5150 7
7 7 7
2
sa 15
3
127
0
691
0,7806
0.0000
0.0000
23
0 2.5112 1
0 0.7259 7
7 7 7
2.5112 2.8732 1
0.7259 I. 6387 1
7 7 7
2
a 7
3
95
0
69 3
0.7806
0.0000
0.0000
23
0 2.5450 1
0 0.6954 ?
? ? ?
2.5450 2.5735 ?
0.6954 I .5312 7
7 ? 7
2
9
31
3
63
0
69 4
5 1
TABLE 31-2
23
0 2.5411 ?
0 0.6959 7
7 7 7
2.5491 2.5471 ?
0.6959 1.4911 ?
7 7 ?
2
9
31
2
63
0
69 5
0,7806 0.7806
o..oooo 0.0000
0.0000 0 . 0 0 0 0
5 2
TABLE 31-3
23 23 23
0 0 0 2 . 5 7 4 4 2 . 5 4 6 6 2 . 5 4 3 9 ? 7 ?
0 0 0 0 .6315 0 . 6 9 5 3 0 . 6 9 6 7 ? 7 ?
7 1 7 ? 1 ? ? 7 1
2 . 5 7 4 4 2 . 5 4 6 6 2 . 5 4 3 9 2 . 4 5 7 7 2 . 5 3 8 0 2 . 5 0 2 2 7 ? ?
0.6315 0 . 6 0 5 3 0 . 6 9 6 7
? 7 ?
? ? ? ? 7 ? ? 7 1
1 . 5 2 5 7 1 . 5 2 1 i 1 . 4 8 9 2
2 2 2
3a 39 39
7 31 31
3 3 2
9 5 6 3 6 3
0 0 0
6 9 6 0 9 7 6 9 8
0 . 7 8 0 6 0.7806 0 .7806
0 . 0 0 0 0 0.0000 0 . 0 0 0 0
0.0000 0.0000 0 . 0 0 0 0
T A B L E 31 - 3
23
0 2 , 5 4 6 8 2 0 . 6 0 2 6 2
0 0 , 6 9 7 6 6 0 . 4 8 2 0 8
0 o.oo4oa o.ooa90
2 . 5 4 6 8 2 2 . 5 4 0 9 6
~ 0 . 1 0 8 8 0
0 . 6 9 7 6 6 1 . 4 9 6 9 4 0 . 0 3 6 6 7
0 , 0 0 4 0 8 0 .01 448 0 . 0 0 4 2 7
2
41
1 5
2
9 5
0
7 0 0
0 . 7 8 0 6
0 . 0 0 0 0
0 . 0 0 0 0
23 23
0 0 2 . 5 5 0 0 4 2 . 5 5 1 9 6 0 . 5 9 7 9 6 0 . 5 9 6 7 6
0 0 0 .69746 0 . 6 9 7 2 9 0 .48946 0 . 4 8 7 5 3
0 0 0 , 0 0 3 1 1 0 . 0 0 3 0 5 0 .01042 0 . 0 1 0 6 7
2 . 5 5 0 0 4 2 . 5 5 1 9 6 2 , 5 6 6 2 6 2 . 5 7 0 8 5
-0 .11362 - 0 , 1 1 3 0 6
0 .69746 0 . 6 9 7 2 9 1 , 5 3 5 3 0 1 . 5 3 9 0 2 0 . 0 3 2 3 9 0 .03233
0 . 0 0 3 1 1 o ; o l 4 4 8 0 , 0 0 6 2 2
2
41
1 5
3
9 5
0
7 0 1
0 . 0 0 3 0 5 0 .01443 0 .00699
2
41
1 5
4
95
0
7 0 2
0 . 7 8 0 6 -o..?a06
0 . 0 0 0 0 0 . 0 0 0 0
0 .0000 . 0 . 0 0 0 0
23
0 2 . 5 2 7 7 2 ?
0 0 . 7 1 2 2 7 ?
0 0 . 0 0 3 1 0 7
2 . 5 2 7 7 2 2 . 7 0 0 4 3 7
0 . 7 1 227 1 , 5 7 0 6 9 7
0 . 0 0 3 1 0 0 . 0 1 1 6 3 ?
2
8
1 5
3
9 5
0
7 0 3
0 . 7 8 0 6
0 . 0 0 0 0
0 . 0 0 0 0
23
0 2 . 5 4 5 1 4 0 . 5 9 6 1 2
0 0 . 7 0 0 9 0 0 . 4 7 3 9 5
1 7 o.ooaa8
2 . 5 4 5 1 4 2 . 5 2 3 6 0
- 0 . 1 1 2 2 2
0 . 7 0 0 9 0 1 . 5 0 1 4 5 0 . 0 1 4 3 2
7 1 0 . 0 0 3 6 7
2
31
1 5
2
9 5
0
7 0 4
0 . 7 8 0 6
0.0000
0 . 0 0 0 0
23 23
0 0
0 . 5 9 7 0 0 0 . 5 9 6 7 8
0 0 0 . 6 9 9 5 5 0 . 7 0 0 4 2
2 . 5 4 8 8 8 2 . 5 4 ~ 3 0
0 . 4 8 7 9 8 0 . 4 8 8 1 i
? ? ? ? 0 . 0 0 9 6 4 0 . 0 1 1 6 6
2 . 5 4 8 a a 2 . 5 4 9 5 0 2 . 5 6 0 0 3 2 . 5 6 4 1 6
tO.11202 - 0 . 1 1 2 7 6
0 . 6 9 9 5 5 0 . 7 0 0 4 2 1 . 5 3 3 9 3 1 . 5 3 7 1 9 0 . 0 3 2 3 5 0 . 0 3 1 9 1
? ? ? ? 0.00596 0 . 0 0 7 1 9
2 2
31 31
1 5 1 5
3 4
9 5 9 5
0 0
70 5 7 0 6
0.,7806 0.7806
0 . 0 0 0 0 0 .0000
0.0000 0.0000
1
5 3
TABLE 31-4
23 23 23
0 0 0
0 0 0
? ? 7
? 7 ? 7 7 7 7 7 ?
2.55864 2.55814 2.53006 2.49581 -2.50305 2.70632 7 7 7
0.66891 0.66905 0.71226
7 1 ?
7 ? 7 7 7 7 7 7 7
0.66891 0.66905 0.71226
1.51606 1.51859 1.57589
2 2 2
38 38 a
15 15 15
3 4 4
95 9 5 95
0 0 0
707 708 709
0.7806 0.7806 0.7806
0.0000 0.0000 0.0000
0 .0000 0 . 0 0 0 0 0 . 0 0 0 0
T A B L E 31 - 4
23
0 2.5290 7
0 0.7112 7
7 7 7
2.5290 2.6966 7
0.7112 1,5694 7
1 7 7
2
8
15
3
63
0
687
0.7806
0.0000
0.0000
23
0 2,5275 7
0 0.7126 7
? 7 ?
2.5275 2.'7021 7
0.7126 1.5713 ?
7 7 7
2
8
1 5
3
127
0
688
0.7806
0.0000
0.0000
23
0 2.5610 7
0 0.6654 7
7 7 7
2.5610 2.5198 7
0,6654 1,5192 7
7 7 7
2
38
15
3
31
0
6 a9
0.7806
0.0000
0.0000
23
0 2,5577 7
0 0,6725 7
7 7 7
2,5577 2.4940 7
0.6725 1 .5131 7
7 1 7
2
38
15
3
63
0
69 0
0.7806
0.0000
0.0000
54
~
P L A N F O R M 2 MODE S E T 2 Mo0.7806 K E o . 5
1 3 8
-0 .141 0 -0 .14042 -0 .14699 2.599 2.53945 2.57195 0 .5937 7 ?
-0 .1036 -0 .10980 -0 .11754 0.6869 0.60769 0 .60149 0 . 5 0 8 5 7 ?
- . 001690 7 7 0 .00271 3 7 ?
0 . 0 1 232 1 ?
2.671 2 .64582 2.77146 2.558 2 .5022a 2 . 5 4 3 5 4
I
-0 .07208 7 ?
0 .7348 0.66403 0 .65484 1 . 9 7 8 1 .55220 1 .61393 0.038oa 7 ?
0.004271 7 ? 0.01631 7 ?
0.00691 0 ? ?
5 2 2
0 0 20
16 12 8
11 4 4
0 26 36
0 0 18
2.1 0 154 262
0.7806 0 .7806 0 .7800
0 .5000 0 . 5 0 0 0 0 . 5 0 0 0
0 .0000 0.0000 0 .0100
T A B L E 32
11 11 14 18
w.158961 -0 ,15860 - 0 , 1 8 7 6 -0 .1622 2 .552842 2.55324 2.5910 2.5531
? 7 0 .5879 0 .5838
- . 1 1 7 7 2 2 - 0 , 1 1 7 7 8 -0 .1305 -0 .1179 0 .624859 0 .62597 0 ,5526 0.6304
? ? 0 . 4 9 ~ 0 . 4 9 a i
? -0 .00239 m.001885 -:001787 ? ?
2 . 5 1 8243 2.685781
?
0.681924 I. 591 499
?
? ? ?
2
0
15
3
0
0
421
0 .7806
0 . 5 0 0 0
0 . 0 0 0 0
TABLE 32
0 .00199 0 .000703 0.'001424 ? 0.01284 0 .01418
2.51836 2 .5563 2.5204
I -0 ,06966 - 0 . 0 7 7 8 . 0.68290 0.6177 0 .6869 1 .59252 1 ,6692 1 , 5 9 6 3 ? 0.04778 0 .0489
0 .00424 0.002478 0 .~003077 0 ,02100 0 .01567 0 .01557 I 0.007120 0.004296
2.68434 2.8489 2 .7110
2 2 2
0 5 78
15 12 15
3 4 3
15 12 15
26 0 0
49 4 121 71
0 .7806 0 .7806 0 . 7 8 0 6
0.5000 o . ~ s o o o 0 . 5 0 0 0
0 . 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0
18 i a . 18 21
-0 ,17040 -0 .1622 - 0 . 1 6 2 2 -0 .1676 2.5529 2 .5531 2 .5531 2.5174 0 .5676 0 .5862 0 , 5 7 7 2 7
-0 .1177 - 0 , 1 1 7 9 -0 .1179 - 0 . 1 0 2 8 0.5846 0.6306 0.6SO4 0.5476 0 .4821 0.6988 0 .4884 1
1 -0.00179 -0 .00179 ? 1 0 .001424 0 .001426 7 ? 0 .01422 0.01456 7
2 .5198 2 .5204 2 .5204 2 .4884 2.7302 2 .7110 2.7110 2 .6546
-0 .06960 -0 .0784 -0 .0696 ?
0 .6428 0.6869 0 .6869 0.5966 1 .5821 1.5963 1 .596s 1 . 4 7 5 3 0 .06547 0.0495 0 . 0 5 3 0 ?
? 0 .003077 O.OOS077 ? 1 0 .01557 0.01557 ? 1 0.004711 0.004549 ?
2 2 2 2
38 68 aa 0
15 15 15 12
3 3 3 4
15 1 5 1 5 12
0 0 0 4
79 672 673 120
0.7806 0 ,7806 0 .7806 , 0.7806
0.5000 0,'SOOO 0 .5000 0 .5000
0 . 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0.0000
T A B L E 32
5 5
TABLE 33-1
P L A N F O R M 2 M O D E S @ T 2 H a 0 . 7 8 0 6 KE1.0
3 8 1 1 11 1 4 1 4 I 4 1 4 1 4 1 4
- 0 , 6 8 7 0 7 - 0 , 7 4 1 1 3 0 . 7 2 8 4 9 5 - 0 , 7 2 6 4 5 - 0 . 9 3 4 4 - 0 . 9 1 6 6 - 0 . 8 4 8 0 - 0 . 7 0 7 0 - 0 . 8 0 9 4 - 0 . 7 9 1 2 2 . 6 3 4 6 3 2 . 6 1 8 6 0 2 . 6 7 0 8 7 9 2 . 6 7 9 1 5 2 . 6 3 1 3 2 . 8 3 1 6 2 ~ 7 6 7 3 2 . 4 5 1 7 2 . 7 8 2 8 2 . 7 6 6 5 ? 7 ? ? 0 , 5 8 2 1 0 , 5 6 3 0 0 , 5 5 9 1 0 . 5 4 7 4 0 . 5 1 9 2 0 . 5 1 3 9
- 0 . 4 9 6 1 3 - 0 . 5 3 6 8 8 m . 5 1 1 5 0 4 - 0 , 5 1 1 6 4 - 0 , 5 7 6 3 - 0 . 6 4 0 7 - 0 , 6 0 8 0 - 0 . 3 9 7 1 - 0 . 3 5 1 8 - 0 . 5 4 1 0 0 . 4 8 0 3 1 0 . 4 1 4 6 2 0 . 5 1 2 1 8 9 0 . 5 1 6 6 5 0 . 3 6 2 8 0 . 3 8 6 5 0 . 4 1 7 8 0 . 5 2 4 0 0 . 4 5 9 9 0 . 4 6 9 7 ? 7 7 ? 0 , 4 7 3 1 0 , 5 0 7 8 0 . 5 0 6 3 0 . 4 6 6 4 0 , 4 8 9 2 0 . 4 8 3 3
? ? ? - 0 , 0 1 0 1 5 - . 0 0 8 5 5 9 - . 0 0 8 6 1 1 - . 0 0 7 5 2 4 - . 0 0 5 4 3 2 9 . 0 0 6 8 6 5 - . 0 0 6 5 9 0 7 ? 1 - 0 , 0 0 4 6 4 - . 0 0 3 4 8 2 m . 0 0 4 2 3 8 - . 0 0 4 0 6 0 0 . 0 0 0 8 7 6 - . 0 0 4 1 9 4 - . 0 0 3 8 4 3 1 7 ? 1 0 . 0 0 9 3 2 3 0 , 0 1 1 1 0 0 ; 0 0 9 6 5 3 0 . 0 0 8 6 1 2 0 . 0 1 0 3 0 0 . 0 0 9 3 4 2
2 . 7 0 3 7 4 2 . 9 1 1 4 7 2 . 7 5 0 4 6 1 2 . 7 4 7 9 6 3 . 0 2 6 8 3 . 0 3 3 8 2 . 9 0 6 1 2 . 6 1 7 9 2 . 8 7 2 0 2 . 8 3 6 6 3 7 7 1 - 0 , 0 1 7 7 7 - 0 , 0 4 3 7 6 - 0 , 0 5 1 2 4 0 . 0 0 9 3 9 8 - 0 . 0 5 9 3 9 - 0 . 0 5 9 8 1
0 . 7 1 0 1 1 0 . 6 9 9 1 6 0 . 7 3 9 3 3 9 0 , 7 4 1 0 0 0 . 6 1 9 9 0 . 6 3 4 1 0 . 6 4 9 4 0 . 6 9 9 6 0 . 6 9 3 2 0 . 6 9 6 6 1 . 6 6 7 9 5 7 . 7 4 3 8 6 1 . 6 8 4 8 8 6 1 . 6 8 6 1 3 1 . 6 2 7 9 1 . 8 5 6 4 1 . 7 7 0 5 1 . 4 2 5 3 1 . 7 6 7 1 1 . 7 4 2 4 7 7 ? ? 0 . 0 7 2 6 0 0 . 0 4 1 8 3 0 . 0 . 0 6 9 5 4 0 . 0 2 4 1 0 0 . 0 2 3 5 3
? ? 7 0 . 0 0 4 4 6 0 . 0 0 1 6 7 9 0 . 0 0 2 8 9 7 0 . 0 0 2 3 2 0 0 . 0 0 4 2 2 6 0 . 0 0 2 3 3 2 0 . 0 0 2 4 2 8 ? ? 1 0 . 0 2 2 4 2 0 . 0 1 6 7 9 0 . 0 1 8 7 2 0 . 0 1 6 0 3 0 . 0 1 3 9 7 0 . 0 1 4 5 6 0 . 0 1 4 1 1 7 1 1 7 0 . 0 0 2 6 7 6 0 . 0 0 5 8 4 3 0 . 0 0 5 6 1 0 0 . 0 0 2 3 5 4 0 . 0 0 6 8 9 4 0 . 0 0 6 6 6 5
2 . 5 5 1 3 1 2 . 5 9 0 4 4 2 . 5 9 8 9 3 0 Z . 5 9 9 6 4 t i 6 8 4 3 2 . 7 3 9 1 2 . 6 8 6 5 2 . 4 7 2 3 2 . 6 6 9 8 2 . 6 5 4 9
2 2 2 2 2 2 2 2 2 2
0 2 0 0 0 5 5 5 5 5 5
1 2 8 1 5 1 5 4 4 6 8 8 8
4 4 3 3 2 4 8 2 6 8
26 36 0 1 5 4 4 4 8 8 a
0 18 0 2 4 0 0 0 0 0 0
1 5 5 2 6 3 4 2 2 49 5 9 4 9 5 9 6 9 7 9 8 9 9
0 , 7 8 0 6 0 , 7 8 0 0 0 . 7 8 0 6 0 . 7 8 0 6 0 . 7 8 0 6 0 . 7 8 0 6 0 . 7 8 0 6 0 . 7 8 0 6 0 . 7 8 0 6 0 . 7 8 0 6
1 . 0 0 0 0 1 . 0 0 0 0 1 . 0 0 0 0 1 . 0 0 0 0 1 . 0 0 0 0 1 . 0 0 0 0 1 . 0 0 0 0 1 . 0 0 0 0 1 . 0 0 0 0 1 . 0 0 0 0
0 . 0 0 0 0 0 . 0 1 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0 0.0000
T A B L E 3 3 - t
56
1 4 1 4 1 4
- @ . a 2 9 9 - 0 . 7 0 2 7 - 0 . 7 7 1 7 2 . 7 7 8 5 2 . 3 8 4 5 2 . 7 3 9 6 0 . 5 4 2 4 0 . 5 5 4 3 0 . 5 3 4 7
-0.5630 - 0 . 3 7 1 0 - 0 . 5 3 8 5 0 . 4 5 3 9 0 . 4 8 3 9 0 . 4 9 9 4 0 . 4 9 8 0 0 . 4 4 3 1 0 . 4 9 8 5
- . 0 0 7 8 7 4 - . 0 0 5 1 2 0 - . 0 0 7 4 4 4 - . 0 0 4 S 3 7 0 . 0 0 2 0 5 6 - . 0 0 4 1 0 5
0 . 0 1 3 0 6 0 . 0 0 8 6 6 9 0 . 0 1 3 0 0
2 . 6 7 5 4 2 . 4 2 4 9 2 . 6 4 2 6 2 . 9 1 3 7 2 . 5 8 1 3 2 . 8 3 1 3
. - O . , O ~ O O ~ 0 . 0 0 5 9 6 a - 0 . 0 5 5 7 4
1 8 1 8
- 0 , 7 4 1 1 - 0 , 7 7 6 2 2 . 6 3 9 0 2 . 6 5 7 6 0 . 5 5 3 4 0 . 5 3 3 0
- 0 . L 9 7 6 -0,5050 0 . 5 1 2 6 0 . 4 5 6 1 0 . 4 9 6 4 0 . 4 8 3 3
- . 0 0 7 5 8 6 ?
0 . 0 1 4 4 2 ?
2 . 7 6 6 0 2 . 7 9 1 0
0 , 0 0 2 8 6 9 ?
2 . 5 8 7 8 2 . 5 9 7 0
- 0 , 0 4 8 8 - 0 . 0 ~ 5 2 0
0 , 6 9 6 0 0 , 6 6 6 8 0 . 7 3 0 6 0 , 7 3 5 0 1 . 7 9 3 2 1 . 3 6 3 5 1 . 7 5 0 5 1 , 6 4 9 9 0 . 0 3 3 9 6 0 . 0 8 3 6 3 0 . 0 3 1 0 9 0 . 0 4 6 8
0 . 0 0 2 6 0 9 0 . 0 0 5 1 2 5 0 . 0 0 2 8 0 5 0 . 0 0 3 5 8 9 0 . 0 1 6 5 5 0 . 0 1 4 0 0 0 . 0 1 6 0 3 0 . 0 1 7 0 8
o . o o 7 0 0 9 0 , 0 0 2 4 1 6 0 . 0 0 6 8 6 7 0 . 0 0 4 1 5 5
2 2
5 5
1 2 1 6
4 2
1 2 1 6
0 0
1 0 0 1 0 1
0 . 7 8 0 6 0 . 7 8 0 6
1 . 0 0 0 0 1 . 0 0 0 0
0 . 0 0 0 0 0 . 0 0 0 0
T A B L E 3 3 - 2
2
5
2 0
4
2 0
0
1 0 2
0 . 7 8 9 6
1 . 0 0 0 0
0 . 0 0 0 0
2
7 8
1 5
3
1 5
0
7 2
0 . 7 8 0 6
1 . 0 0 0 0
0 . 0 0 0 0
i a 1 8 i a 21
- 0 , 7 4 1 1 - 0 , 7 4 1 1 - 0 . 7 4 1 1 - 0 . 7 0 1 2 2 . 6 3 9 0 2 . 6 3 9 0 2 . 6 3 9 0 2 . 5 8 5 6 0 . 5 5 3 6 0 . 9 5 4 0 0 . 5 4 9 0 ?
- 0 . 6 9 7 6 - 0 . 4 9 7 6 - 0 . 4 9 7 6 - 0 . 4 1 4 2 0 . 5 1 2 6 0 . 5 1 2 6 0 . 5 1 2 4 0 . 4 7 9 5 0 , 4 9 7 5 0 . 4 9 8 8 0 . 4 8 8 8 I
- 0 , 0 0 7 5 9 - 0 , 0 0 7 5 9 - 0 . 0 0 7 5 9 ? 0 . 0 0 2 8 6 9 0 , 0 0 2 8 6 9 0 . 0 0 2 8 6 9
0 . 0 1 4 4 8 0 . 0 1 4 5 8 0 . 0 1 4 8 4 7
2 . 5 8 7 8 2 . 5 8 7 8 2 . 5 8 7 8 2 . 4 9 8 8 2 . 7 6 6 0 2 . 7 6 6 0 2 . 7 6 6 0 2 . 5 9 3 6
- 0 . 0 4 9 8 - 0 . 0 5 0 6 - 0 . 0 4 2 4 ?
0 , 6 8 7 4 0 , 7 3 5 0 0 , 7 3 5 0 0 , 7 3 5 0 1 . 6 7 0 1 1 . 6 4 9 9 1 . 6 4 9 9 1 . 6 4 9 9 0 . 0 4 3 9 2 0 . 0 4 6 8 0 . 0 4 7 1 0 . 0 5 1 1
? 0 . 0 0 3 5 8 9 0 , 0 0 3 5 8 9 0 . 0 0 3 5 8 9 ? 0 . 0 1 7 0 8 0 . 0 1 7 0 8 0 . 0 1 7 0 8 1 0 . 0 0 4 1 4 1 0 . 0 0 4 5 4 2 0 . 0 0 4 4 0 2
2 z 2 2
3 8 ao 6 8 8 8
1 5 1 5 1 5 1.5
3 3 3 3
1 5 1 5 1 5 1 5
0 0 0 0
ao 6 6 5 6 6 6 6 6 7
0 ; 7 8 0 6 0 . 7 8 0 6 0.7806 0.7806
1 . 0 0 0 0 1 . 0 0 0 0 1 . 0 0 0 0 1 . 0 0 0 0
0 , 0 0 0 0 0 . a 0 0 0 0 . 0 0 0 0 0 . 0 0 0 0
0 . 6 5 0 4 1 . SO77 ?
1 ? ?
2
0
1 2
4
1 2
4
1 2 4
0 . 7 8 0 6
1 . 0 0 0 0
0 . 0 0 0 0
TABLE 33-2
2 4
- 0 . a i 1 7 2 . 4 T 3 9 ?
- 0 . 3 7 6 5 0 . 4 8 2 2 ?
? ? ?
2 . 5 3 9 9
1
0 . 6 6 0 9 1 . 3 7 3 4 ?
7 ? ?
2 . a i 8 5
2
21
a 2
6 2
1 2 0
71 0
0 . 7 8 1 0
1 . 0 0 0 0
0 . 0 0 0 0
24
-0 .8595 2.7033 7
- 0 . 5 0 3 3 0 .4458 ?
? ? ?
2 .6943 3 .0562 ?
0.7069 1 . 6 7 9 6 ?
? ? ?
2
21
a 4
62
120
71 1
0.7810
1 .0000
0 . 0 0 0 0
24 24
-0.8555 - 0 . 7 5 0 0 2 ,7032 7
-0 .5037 0.4495 1
? ? 7
2 .6027 3.0530 ?
0.7113 1 .6846 ?
7 ? 7
2
21
8
6
80
120
71 2
0.7810
1 .0000
0.0000
T A B L E 33 - 3
2.4155 ?
-0 .3735 0.4684 ?
? 7 ?
2.4731 2 .6698 ?
0.6541 1 .3623 ?
? 7 ?
2
21
1 6
2
118
120
71 3
0.7810
1 .0000
0 . 0 0 0 0
24 24
-0 ,8061 - 0 , 7 5 6 3 2 , 7 6 7 7 2.'7008 1 7
-0 ,5571 -0 .1988 0.4723 0.-5112 7 7
? 7 7 7 7 7
2 .6677 2 .6210 2.8819 2.8315 7 7
0 .7115 0 .7388 1 .7785 1 , 6 9 3 7 7 ?
? 7 7 7 7 7
2 2
21 21
16 16
4 4.
16 50
120 120
71 4 71 5
0 .7810 0 . 7 8 1 0
1 . o o o o 1 . 0 0 0 0
0 .0000 0 .0000
24
-0 .7681 2 .7130
' 7
-0 .5081 0 ,5009 1
1 1 7
2 .6325 2 ,8478 7
0 .7322 1.7045 7
7 ? 1
2
21
1 6
4
84
120
71 6
0 ..7810
1 . ~ O O O O
0 . ~ O O O O
24
-0 .7639 2 .7111 7
- 0 , 5 0 6 8 0 . SO31 ?
1 1 7
2.6309 2.8455 7
0 .7340 1.7033 ?
1 1 ?
2
21
16
4
118
120
717
0 .7810
1 .0000
0 .0000
24
-0 .7466 2 .7063 1
- 0 . SO64 0.S166 1
1 1 1
2.6161 2.8018 ?
0.7401 1 .7037
'1
7 7 1
2
21
20
4
104
120
71 8
0.7810
1 .0000
0 . 0 0 0 0
24
-0 .2281 2.3954 7
-0 .3753 0 .4630 ?
? t 7
2 .4442 2.6207 7
0 .6527 1 .3620 ?
7 ? 7
2
21
3 2
I
9 8
120
719
0 .!7810
1 .0000
0 . ~ 0 0 0 0
51
TABLE 333.4 r , .
37
- 0 ; 7291 2 .6551 7
- 0 . 4 9 5 6 0 . 5 2 1 s 7
? 7 ?
2.5821 2 .7492 ?
0 .7389 1 ,6660 7
? ? 7
2
32
15
3
47
0
995
0.7806
1 .0000
0.0000
37
-0 .7312 2 ,6307 7
-0 .4933 0 .5194 ?
? ? ?
2 .5802 2 .7532 ?
0 ,7374 1 ,6609, ?
? 1 ?
2
32
14
3
44
0
'996
'0.7806
1 .0000
0.0000
T A B L e 33 - 4
58
P L A N F O R M 2 MODE S E T 2 Ma0.9270 K m O . 0
3 a 0 .00000 -0.00000
? 1
0.00000 -0.00009 0.77377 0.79505 1 7
? 7 7 7 ? 7
2 .76376 2.83202 2.45718 2.64879 ? 7
0 .77377 0.79507
? 7
? 7 ? 7 7 7
2 .76576 2 .83037
1.79135 1 .91a84
2 2
0 20
12 a 4 4
26 36
0 18
156 264
0 .9270 0 .9300
0 ,0001 0.0125
0.0000 0.0100
T A B L E 34 - 1
11
-. 000000 2.736351
7
-. 000000 0.797926
7
? ? 7
7 7 ?
7 7 7
? 7 7
2
0
15
3
0
0
426
0 .9270
0 . 0 0 0 0
0 .0000
11 14
- 0 . 0 0 0 0 0 - .000050 2.73972 2.8686 1 0 ,6784
- 0 , 0 0 0 0 0 - .000080 0 .80384 0, .63i2
- 0 . 0 0 0 0 0 - .000001 0.00393 - .000461 ? 0.01062
? 0 ,5089
2 .73972 2.8685 2.43885 3 .0144 ? - 0 . 3 4 7 5
0.80383 0.6312 1.78869 2.1186 ? -, 003271
0 .00393 - .000460 0.02634 0.02187 ? 0.003277
2 2
0 5
15 4
3 2
15 4
24 0
49 6 1 0 3
0 .9270 0 .9270
0 .0001 0 .0100
0 .0000 U. 0000
14 14 14
- . 000056 -:000046 - . 0 0 0 0 0 4 2.8460 2 .8300 2 .7507 0 .7129 0 . 6 9 8 9 0.6679
- . 0 0 0 0 8 4 - . 000076 - . 0 0 0 0 3 4 0 .5875 0.6207 0 .8628 0 .5920 0 . 5 8 9 0 0 .5215
- .000001 -.000001 - ' . o o o o o l 0 .003332 0.003219 0.004634
0.01362 0.01019 0.009694
2 .8459 2.8299 2 .7506 3 .0642 2 .9172 2 .3856
-0.3399 - 0 . 3 3 0 4 -0 .2607
0 ,5875 0 , 6 2 0 7 0 .8628 2.1866 2 .0903 1 .6456
- 0 . 0 1 875 - 0 . 0 1 139 -0 .02471
0 . 0 0 3 3 3 4 0 .003220 0.004634 0.02706
0.009675
2
5
4
1,
4
0
104
0..9 270
0 .0100
0 .~0000
0 .02344 0.01649 0 . 0 1 060 0.002173
2 2
5 5
4 8
8 2
4 8
0 0
105 106
0.9270. 0 .9270
0 .0100 0.0100
0 .0000 0 . 0 0 0 0
TABLE 34-1
14 14
- .000036 - . 0 0 0 0 3 5 2.7963 2 .7958 0.6494 0 .6446
- .000066 - .000065 0 .6943 0 .6965 0.S588 0.5556
". 000001 -. 000001 0.001981 0 .002122
0 .01140 0 .01062
2.7962 2 .7958 2 .7766 2.7S37
-0 .3809 -0 .3873
0 .6943 0 .6965 2.0135 1.9931
-0 .07870 - 0 . 0 8 5 7 7
o .oo i9a2 0 .002123 0 .01848 0 .01802 0.01104 0 .01008
2 2
5 5
8 8
6 8
8 8
0 0
107 108
0.9270 0 .9270
0.0100 0 .0100
0 .0000 0 .0000
59
TABLE 342
t
I 4 14
- .000035 - .000009 2 .7860 2.7212 0 .6655 0 .6519
* .000065 - .000039 0 .6930 0.7981 0 .5636 0.5387
-. 000001 -, 000001 0.001928 0 .005001
0.01531 0 .01002
2 .7839 2.7211 2 .7526 2.3904
-0 .3681 -0 .2930
0 .6930 0 .7982 1 .9827 1 , 6 6 4 3
-0 .06666 0 .009030
0.001929 0.005001
14 1 7
- .000023 0 2 .7710 2 .7483 0 .6493 0 .6496
- .000057 0 0 . 7 6 5 7 0.8106 0 . 5 5 9 7 0.5666
- .000001 0 0.002366 0.002762
0 .01501 0 .01215
2 .7709 2.7483 2 .5996 2.4907
-0 .3709 - 0 . 3 8 2 7
0.7657 0.8106 1 .a945 1 . 8 3 7 7
-0 .08273 -0 .1199
0 .002367 0.002762 0.01931 0.01709 0 .01846
0 .009688 0,002394 0 .0091 30
2 2 2
5 S 5
12 1 6 2 0
4 2 4
12 16 2 0
0 0 0
109 110 111
0.9270 0.9270 0 .9270
0 .0100 0.0100 0 .0100
0 ,0000 0.0006 0 . 0 0 0 0
T A B L E 34 - 2
0.01753 0.01254
2
48
15
3
1 5
0
73
0 .9270
0 .0000
0 ,0000
60
TABLE 35
P L A N F O R M 2 M O D E S E T 2 M r 0 . 9 2 7 0 K 1 0 . 5
1 3 8 1 1 11 I 4 21
- 0 . 0 6 4 0 7 - 0 . 0 6 1 0 5 - 0 . 0 7 2 1 4 w . 0 7 3 2 5 9 - 0 . 0 7 1 6 9 - 0 , 1 1 3 6 - 0 . 0 9 8 4 2 . 9 2 5 2 . 8 7 4 1 6 2 . 9 5 4 2 0 2 . 8 4 2 2 5 3 2 . 8 4 8 4 7 2 . 9 6 1 6 2 . 7 6 1 9 0 . 5 6 4 8 ? ? 7 t 0 . 9 S 1 3 7
- 0 . 1 0 7 0 - 0 . 1 0 9 9 7 - 0 . 1 2 7 8 8 - . I 1 1 0 5 9 - 0 . 7 1 1 3 5 - 0 , 1 3 8 4 - 0 . 0 9 6 8 9 0 . 8 7 3 7 0 . 8 2 8 0 5 0 . 8 3 9 6 5 0 . 8 4 6 3 2 9 0 . 8 5 4 2 8 0 . 7 8 1 5 0 . 6 9 7 3 0 . 5 4 4 4 7 ? 7 7 0.5310 7
m . 0 0 2 4 6 8 7 t 7 - 0 , 0 0 3 5 0 - . 0 0 2 8 0 0 7 0 . 0 0 2 3 1 7 ? ? 7 0 , .00160 -.OOOS15 7
0 . 0 1 4 9 3 ? ? 1 t 0 . 0 1 6 0 6 7
2 . f 5 0 2 . 6 9 6 0 7 2 . 7 7 6 6 4 2 . 6 7 9 2 1 9 2 . 6 8 3 4 8 2 .7147 2 . 6 1 6 8 2 . 5 1 4 2 . 4 7 5 1 A 2 . 6 9 1 6 0 2 . 4 3 5 5 7 4 2 . 4 3 5 2 5 2 . 7 0 1 3 2 . 4 3 3 2
- 0 . 2 2 5 3 ? 1 7 7 - 0 , 2 3 5 1 7
0 . 8 8 3 0 0 . 8 3 1 5 9 0 . 8 6 1 0 4 0 . 8 5 0 0 0 5 0 . 8 5 7 1 5 0 . 7 8 4 2 0 . 6 9 8 0 I , 8 0 4 1 . 7 9 6 8 1 i . 9 5 1 a 3 i . 7 5 9 6 4 7 I 3 6 7 9 5 I , 9 6 7 1 1 . 6 0 2 1
- 0 . 0 8 1 2 4 1 ? 7 7 - 0 , 1 1 2 9 7
0 . 0 0 4 6 7 6 ? ? 7 0 . 0 0 4 7 9 0 . 0 0 2 3 0 S 7 0 . 0 2 1 3 8 ? ? 7 0 . 0 1 8 1 7 0 . 0 2 0 9 7 7
0 . 0 0 8 5 8 5 1 ? 7 7 0 . 0 0 8 7 2 7 7
5 2 2 2 , 2 2 2
0 0
1 6 1 2
11 4
0 26
0 0
21 4 1 5 7
0 . 9 2 7 0 0 . 9 2 7 0
0 . 5 0 0 0 0 . 5 0 0 0
0 . 0 0 0 0 0 . 0 0 0 0
T A B l F 3 5
2 0
8
4
3 6
1 8
2 6 5
0 . 9 3 0 0
0 . 5 0 0 0
0 . 0 1 0 0
0
1 5
3
0
0
4 2 7
0 . 9 2 7 0
0 . 5 0 0 0
0 . 0 0 0 0
0
1 5
3
1 5
2 4
497
0 . 9 2 7 0
0 . 5 0 0 0
0 . 0 0 0 0
5
1 2
e
1 2
0
1 2 3
0 . 9 2 7 0
0 . SO00
0 . 0 0 0 0
0
1 2
4
1 2
4
1 2 2
0 . 9 2 7 0
0 . 5 0 0 0
0 . 0 0 0 0
61
TABLE 36-1
P L A N P O R M 2 MODE S e t 2 H’0.9270 K.1.O
3 8 11 11 1 4 1 4 1 4 14 1 6 1 4
-0.38271 -0.40094 -. 41 4432 -0.40694 -0,6969 -0.6429 -0.5817 -0.5148 -0.5120 -0.5109 3.08846 3.23468 3.066088 3.07635 3.09692 3.3887 3.3545 2.6250 3.2500 3.2435 7 7 ? 7 0.05070 0.4147 0.4920 0.5122 0.6298 0,4281
-0,39190 -0.14513 -.412226 -0.41201 -0.5551 -0.5618 -0.5654 -0.3132 -0.4327 -0.4379 0.94072 0.96734 0.917718 0,92923 0.5830 0.8711 0.8907 0.7287 0.9459 0.9402 7 7 ? 1 0.4556 0,4707 0,4727 0.4386 0.4313 0.4299
? 7 7 -0,01330 - .009372 -.009983 -0.01036 -.004812 -0.01’101 -0.01084 ? 1 7 -0,00318 -.002716 0.001938 0.000475 0 .003383 -.007060 m.006796 7 7 ? 1 0,009703 0.01230 0.008299 0.008980 0.01330 0.01215
2.65451 2.79803 2.679674 2.68420 2 . a 7 i a 2.9288 2.8989 2.4812 2.7898 2.7902 2.29379 2.48129 2.309967 2.30444 3.7635 2.5686 2.4714 2.3635 2.4081 2.4032 7 1 7 7 -0,0492 0.01382 0.01914 m.002822 -0.02461 -0.03216
0.90378 0.95282 0.930078 0,93814 0.7190 0,7737 0.8011 0.7973 0.8860 0.8865 1.68701 1.84666 1.684901 1.69009 1.6790 1.8631 1.8504 1.3897 1.7595 1.7553 7 1 ? 7 0.04933 0.04496 0.06265 0.0411C 0.000595 - . 0 0 3 0 0 5
? 7 ? 0.00707 0.002043 0.007831 0.007230 0.005707 0.00312 0.003188 7 7 ? 0.03022 0.01847 0.02632 0.02594 0.01461 0.02273 0.02215 7 7 7 7 0.002649 0.008114 0.009687 0.001960 0.008997 0.008273
2 2 2 2 2 2 2 2 2 2
0 20 0 0 5 5 5 5 5 5
12 0 15 15 4 4 4 8 8 a
c 4 3 3 2 4 8 2 6 a
26 36 0 15 4 4 0 8 8 8
0 1 8 0 24 0 0 0 0 0 0
158 266 428 49 8 112 113 114 115 116 117
0.9270 0,9300 0.9270 0.9270 0,9270 0.9270 0.9270 0.9270 0.9270 0.9270
1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
0.0000 0.0100 0.0000 0.0000 0.0000 0.0000 0 . 0 0 0 0 0.0000 0.0000 0.0000
T A B L E 36 - 4
62
TABLE 36-2
i a I 8 21
- 0 . 4 ~ 6 0 -0 .6892 -0 .4724 2.9975 3.1173 2 .9191 ? 0.4S60 7
-0 .4078 -0.4465 -0.3301 0 , 8 7 0 7 0 .8448 0 . 7 7 7 7 ? 0 .4762 ' 7
-. 009503 7 , ? - . 001018 7
1 7 ' ?
2.6661 2.7352 2.5708 2.3905 2 . m a ,2:235a ? 0.07560 ' 7
0 .9096 0 .8830 0,7631, 1'. 6558 1 ,7260 1.4859 ? , -0 .01732 ' ?
0.005?53 0.02234 ?
2
8
19
3
1 s
0
74
0.9270
1 .oooo
7 I ?
7 ? 7 7
2 2
38 0
15 12
5 4
15 12
0 4
a i 12s
0.9270 0.9270
1 .0000 1 .oooo 0.0000 0.0000 0.0000
T A B L e 83.6 .- 2
6 3
2 2 2 2
0 20 0 0
12 8 19 15
b 4 3 3
26 36 0 15
0 i a 0 24
149 267 41 7 502
TABLES 37, 38, 39, 40
P L A N l O R M 2 M O D E S E T 5 V.o!*NloO0 KmO.5
3 a 11 11
-0 ,03311 *0.03300 - , o i O B n S rO.Os4no 0 ,32579 0:32477 0 ,327228 0.32724
-0 ,02419 -0 ,02504 * .02S2iO w 0 . 0 2 S 7 4 o . i a 1 4 2 0 , 1 9 0 ~ 7 0 , 1 7 7 ~ ~ 7 0 .17731
0.34922 O.SO807 0.351550 0 ,35156 0,48800 0 ,48742 0 ,496066 0 .49604
0 .20118 0 ,21065 0 .197768 0 .19777 0 .34795 0,55966 0 .351206 0 .3511s
2 2 ? 2
0 20 0 0
12 e 1s 15
4 4 3 3
26 36 0 13
0 l a 0 2b
160 268 41 8 5 0 3
0 , 0 0 0 0 0,0100 0.OOnn 0.00oo
o , s o o o o.sooo o.sonn o.sooo 0 , 0 0 0 0 0 , 0 1 0 0 0 .0060 0 . 6 0 0 0
T A B L E 38
I P L A N I O R M 2 MODC S E T 5 MuOf?OOOO Ka1.O
I 3 D 11 1 1
-0,134SS -OZ, 13328 - , 1 4 0 6 7 l WO'.( LO46 0.25126 0 ,25056 0 .25010n 0 . 2 ~ 0 2 ~
I - 0 , 0 9 7 6 7 SO., 10106 s, 1018A6 S O . 10179
0.11924 0,12?11 0 ,115111 O . l l S 1 5
0 , 3 4 6 2 7 0 . 3 4 6 9 8 0.S48TLr 0.36876 1 0 . h 8 6 h 1 0.48567 0,406OLl 0;bQbOl
0 ,19915 0 ,20029 0 , 1 0 5 8 ~ 1 o . t o 5 a z 0.34686 0,35821 0,350031 O.SL907
2 2 ? 2
0 20 0 0
9 2 8 1s 15
h 4 f 3
26 36 0 1 5
0 18 0 26
161 269 41 9 5 0 4
I I
0.0000 0.0100 0.00on 0 .0000
1 .0000 1 .0000 1 . 0000 1 ', 0000
0.0009 0,0100 0 .0000 0;oooo
I T A B L E 39
PL4NpOl)M 2 MODE SET 3 M.Olf7806 y R O . 0
3 8 11 11
.n.oonoO -0.ooO02 -~.boOOoo -o.ooooo n.37n47 0 .36899 0 .371708 0.17172
.n.obnoO -o.ooO02 - .nooooo -o.ooooo n.21460 0 . 2 2 4 6 4 0 . 2 1 1 5 3 0 0 .21149
n.531185 0 .53570 ? 0 .37047 0 .36893 ? 0 .,3?172
0 . 5 3 7 7 3
n . 2 1 4 6 0 0 .22462 ? 0 .21 'i 49 0 .39778 0.60998 ? 0.39673
2 2 7 2
0 20 n 0
12 8 15 15
4 4 3 3
26 36 0 15
0 1 8 0 2 4
i 6 2 270 4 2 1 5 0 5
0.7R06 0 .7800 0 .7806 0.7806
0.0001 0 .0125 0 . 0 0 0 0 0.O:rOl
0.0noO 0 .0100 0 .0000 0.OooO
T A R l P .40
64
P L A N F O R M 2 M O D E SET 5 ~ ' O C 7 6 0 6 ~ m ' J . 5
3 8 11 11
-n .03&93 -0 .03748 - . n i 8 2 3 7 -0 .03825 n .36946 0 .34665 0 .369903 0 . 3 4 ' ~ 9 1
-n.O2953 -0 .03099 - . 0 3 0 4 5 8 - 0 . 0 3 46 n.19286 0 .20134 0 .189097 0 . 1 8 ' x 0 5
11.37132 0 .37164 0 .374572 0 .37659 11.53527 0.54045 0 .562207 0 .54226
n.21598 0 .22572 0 .212887 0 .21281 n .39722 0 .41340 0 .400180 0 . 4 0 , il
2 2 ? 2
0 20 n 0
12 a 1s 15
4 4 1 3
26 36 0 15
0 1 8 0 24
i 6 3 271 426 506
0 . 7 4 0 6 0 . 7 8 0 3 n . 7806 0 . 7 8 0 6
0 . 5 n 0 0 0 .500G 0 . 5 0 0 0 0.5:)oO
0 . ono^ 0 . 0 1 0 0 n. 0 0 0 0 0 . O , ~ O O
T A R L F 41
P ~ A N F ~ R , 2 MODE S E T 5 MD0:.'9270 K m 0 . O
3 8 I 1 11
q n . O o n o 0 -0 .onon2 - . m o o 0 0 -o .oo l loo n.38229 0 .38035 0.3132231 0 . 3 8 2 4 3
- n . b , n o 0 - 0 . 0 0 0 0 2 0 . ononon - 0 . 0 0 100 11.22166 0 . 2 3 2 2 ; 0 . 2 1 9 9 8 s 0 . 2 1 ~ 7 3
n.38229 0 . 3 8 0 4 1 1 0 . 3 8 2 6 3 n .56724 0 . 5 7 2 2 3 ? 0 .56650
n .22166 0 .23221 ? 0 . 2 1 (:73 n .42983 0 . 4 5 0 8 0 1 0 . 42',21
2 2 2 2
9 20 n 0
12 8 1 5 1s
4 4 ? 3
26 36 n 15
0 1 8 n 26
65 273 420 5 0 8
0 . ~ 2 7 0 0 . 9 3 0 0 0 . 9 2 7 0 0 . 9 2 7 0
O.on01 0 . 0 1 2 5 t1.0000 0 . 0 , o l
3 . ~ 0 0 0 O . O I O O n . 0 0 0 0 0 . 0 ! oo TnaLE 43
TABLES 41, 42, 43,44
P C A N ~ O R M 2 M O D E S E T 5 ~.0!,*7806 ~ m 1 . 0
3 8 1 1 11
qn. 15n87 -0 .15373 -8. I 5631 I - 0 . 1 5 6 ~ 7 n .28751 0 .27921 0.2R5344 0 .28531
40.121 5 4 40 .12786 -. 175293 -0.125SO n.12736 0 . 1 2 9 8 8 0 .121595 0 .12132
0 . 3 8 6 0 0 0.38081 0 .385284 0 . 3 8 5 3 0 n . s m a 0 . 5 5 4 8 4 0 .556770 0 . 5 9 ~ 8 5
n .22174 0 . 2 2 9 9 ~ 0 .218597 0 . 2 1 ~ ~ ~ n.LirR70 0 .42453 0.411395 0 . 4 1 3 3 5
2 2 2 2
0 20 n 0
12 8 1 5 15
4 4 1 3
26 36 0 1 5
0 1 8 0 24
i 64 272 425 507
0 f a 0 6 0 .7800 0 . 7 8 0 6 0 . 7 a 0 6
1 . 0 6 0 0 1 .oooo 1 . 0 0 0 0 1 . o $ 0 0
0 . ono0 0 . 0 1 0 0 0 . 0 0 0 0 0 . 0 j O 0
T a n L e 42
P h A N p O R M 2 MODE S E T 5 Me079270 Km0.5
3 8 11 11
-n.03083 -0 .04147 - . 0 6 0 1 & 5 -0 .04 i i35 n. 36778 0 .3631 0 .36726& 0.36'11 1
'0 .03457 -0 .03698 - .n34567 -0.03~64 n . 2 ~ 1 5 2 0 .20891 0 . 1 9 9 6 9 2 0 . 1 9 ~ i 4
n .39123 0 . 3 8 9 0 6 0 .390778 0 . 3 9 1 ~ 8 9 n . 5 7 ? 4 5 0 .58482 0 .573119 0 . 5 7 4 2 9
n .22750 0 .23757 0 .225458 0 .22508 n . 4 4 n 5 3 0 .46336 0 . L 3 9 1 i 3 0.43~01
2 2 3 2
0 20 0 0
12 8 1s 15
4 4 3 3
26 36 n 15
0 18 0 21
i 6 6 274 1sn 5 09
0 . 9 9 7 0 0.930U n 9270 0 . 9 2 7 0
0 . snno 0 . so00 n. 5 0 0 0 o.5:,00
0 . :moo 0 . 0 1 ou n . oooo 0.0,100
T A a L E 4 4
65
TABLES 45, 46
P(IANFOI(M 2 MODE SET 5 M=0?9270 K.1.O
3 a 11 11
-0.15548 - 0 . 1 6 2 0 4 - . l S 6 3 1 4 -0 .15739 0 . 3 4 7 7 8 0 .33205 0 .337068 0 .33570
n.15780 0 . 1 5 7 s a 0 . 1 5 1 7 1 7 0 .15 , ,22
0 .42274 0 .42157 0 .419934 0 . 4 1 9 8 1 0 .59671 0.61356 0 .594915 0 . 9 9 6 3 8
0.25764 0 .26316 0 .207598 0 . 2 4 a 9 3
dn.13774 -0.74951; m.138239 -0 .13869
0 -46A30 0 .49720 0 .46389s 0.46385
2 2 7 2
0 20 n 0
12 a 1 5 1s
4 4 1 3
26 36 0 1s
Q I 8 0 24
167 275 431 51 0
0 . 9 7 7 0 0 . 9 3 0 0 n . 9 2 7 0 0 . 9 2 7 0
1,OnOO 1 .ooOo 1 . 0 0 0 0 I . O ~ I O O
0 . O n O O 0 .01 0 3 n . O O o o 0 . o,;oo T R R L E 4 5
P L A W F O R M 3 M O D E ( E T 2 M.O.0000 Y l o . 0
J 8 11 11
0 .00000 - 0 , 0 0 0 0 0 ~ , o o o O n n e0.00000 2 ,71154 2.73068 2.69 0 5 7 2.60720 3.71365 3.90038 3.6S7085 S . 6 S 5 b 2 0.00000 0 , 0 0 0 0 0 ~ . o o O o n a -n.Ooooo ? ? T ?
0.00000 - 0 , 0 0 0 0 6 ~ , o o O O a n ~ 6 . 0 0 0 0 0 -0 ,05284 - 0 , 4 1 6 2 1 m.029891 =0.43109
l . l S 4 1 9 1.2125 1,188867 1 .1866? 0 , 6 0 0 0 0 -0 ,00000 ~ . o o o o n n ~ 0 . 0 0 0 0 0 ? ? ? ?
0.00000 ~ 0 , 3 0 0 0 0 - .0o00na ~ 0 . 0 0 0 0 0 0 .39600 O,Sl595 0.3916S9 0.39175 0 .70818 0 ,71837 0,695991 0.69S96 6 .00000 -0 .00006 ..000000 00.00n00 ? ? ? ?
O.OOOOO -o,ooooo ..oooonn =O.OOOOO 0 .66720 0 ,69216 0 ,686777 0,68bn1 1 . 0 1 7 ~ 9 i , o s w 1,0087111 i . o o a 2 8 0 , 0 0 0 0 0 - 0 , 0 0 0 0 0 ~ . o o o o n o -0 .00000 ? ? ? ?
? ? ? ? ? ? ? T ? ?
2.?1154 2.706 3.39004 3 , b 3 8 1 .98099 2 ,116 0,66890 0 , 6 5 8 ? ?
=O.b5286 - 0 , 0 1 2 1.15067 1 ,190 1.22414 1 .300
-0.04989 - 0 , 0 4 0 ? ?
0.S9600 0 .382 0,696S7 0,690 O.tS820 0 , 1 9 8 0.06887 0,066 ? ?
0,68?20 0,686 0.86866 0 ,874 0.62895 0,656
T T
T T T ? ? ? T ? ? T
0 . 2 ~ 9 1 0 O , L ~ S
T 1 ? ? ?
? T T T T
T T T T T
T T T T T
T T T T T
T T ? T T
2 1
n 7.6891 ? ? ?
a -a .4161
? ? 9
? ? ? ? ?
? ? ? ? ?
2 2
0 20
12 14
4 3
26 16
0 18
168 276
0 , 0 0 0 0 0 .0100
0.0001 0 .0001
0 ,0000 0 .0100
T A B L E 46
2
0
15
S
0
0
432
0. oona
o.oonn
0. oonn
-0.06000 ? 0.00211 ? 0.02506 ?
-0.00000 ? ? 9
2.60120 7.6890 3.06810 3.4194 1 .96750 ? 0.66SS6 ? ? ?
-0 .01109 -n.1161 1 .16700 1.1612 1.2208? 9
-0.Ob658 T ? ?
0.30179 ? 0 .70195 9
0.06786 ? ? ?
0 ,68011 ? 0 .81088 ? 0.63185 T 0 .23055 ? ? ?
0 . 0 0 2 l b 9 0.02271 ? 0.03196 ? O.OOOA1 ? ? ?
o . n a s i
2
0
15
3
1 5
24
51 1
0 . 0 0 0 0
0 .0001
0 . 0 0 0 0
2
8
15
1
9s
0
674
0.0000
0.0000
0,0000
. '
66
12970b 527089 139029 ' Ob5340
? 1 ? ? ?
? ? ? 0.00206 7 ? ? ? 0,022no 9 T T T o,os401 ? ? T T o:Oon99 9 ? ? 1 ' 1 9
7031 1 0 766533 066532
663976 a99952 6ro71a 229776
2 2
0 20
1 2 1 4
4 1
26 56
0 1 8
169 217
0,0000 0 .0100
0, 5000 0 , 5 0 0 0
0 ,0000 0.0100
TABLE 1 7
2
0
15
3
0
0
431
0 . ooon
0 . soon
0. oono
2
0
15
S
1 5
24
51 2
0 , oono
0 .5000
o .oono
2
0
15
6
0
0
4 5 6
0 . 0 0 0 0
0 . 5 0 0 0
0 .0000
2 2
0 2 0
1 2 1 4
b 5
26 36
0 l a
170 278
0 .0000 0 .0100
1 .0000 1 .0000
0 , 0 0 0 0 0 .0100
T A B L E .La
2
0
1s
S
0
0
4 3 8
0 . oonn
1 . ooon
0 . ooon
2
0
15
3
15
2 1
5 1 3
o:onnn
1 . 0 0 0 0
0 . 0 0 0 0
61
TABLE 49
~ 7 . 6 0 5 1 3 -6 ? ?
-7 .a2sro -8 -5 ,42708 -6 -1 ,81660 - 2 -2 .66667 - 2
? ?
1 1 1 1 1
.2192 -31 - 2 2 7 4 -Sq . l o 3 5 41446 -5 .37936 ~ 5 . 0 2 9 7 6 45910 -5.43510 -5 .20556 51010 -7 .51030 m7.53270
? ?
-6 .64239 -63,27107 87.9520 ~ 7 . 9 1 0 2 -6 .66142 ~ 6 . 4 5 7 0 9 96
- 1 ,?1154 01 ,98286 - 1 , 9 8 1 3 -1 .IS09 -1 .16282 - 1 . m 9 2 -1
? ? ? 7 ? ? ?
-2 ,61629 -2 .83688 -5.0155 -2.7718 -7.55847 -2.561157 - 2
- 1 . 8 9 ~ 0 -1.,82787 -2 .991 s 2 . i 6 9 ~ -q.a9795 - 1 . 8 0 ~ ~ 2 a1
-7 .55227 -7 ,28816 97.6676 -7 .4312 -2.06525 -2 ,26079 -2 .1530 ~ 2 . 0 1 6 7
-2 ,96115 -2 .77960 a2 .8190 - 2 . 8 3 6 1 -0.98969 -1 ,35220 a i , 2 1 a u u1.0607
? ? ? ?
? T ? ? ? ? ? ? ? ? ? ? ? ? I 9 ? ? ? ?
2.37091 1,849SC 1 .QS27 2'.'0821
2.16753 2 ,08108 2 .1182 2 . l S 8 Q 0.59472 0 ,46414 0.507q 0.56d5 ? T ? 7
~ ~ 5 9 6 6 3 2,99678 3 .1582 3.2oa6
-7.110076 -7 .50036 - 7
-1 .01095 - 1 . 6 3 6 5 5 n .973541 - 2.9 3 730 - 2 . Q 364 1 -2 .9 4850
-7 .03052 -2 .0?426 - 1 . 9 6 ~ a 1
? ? ?
T -0 .18270 7 9 -0 .13363 ? ? -0.QR776 ?
T ? ? ? *o .onoso 7
7 . 3 3 2 3 7 0 2.317SO 2 .596573 x .579636 S.57281 3 .697722
n . 3 7 8 5 3 6 0 .57952 0,593557 7 . 3 0 9 7 3 1 2.36sa6 2.259676
? ? ?
36SOS 44073 66972 n i o u
51 400
-0,59819 *0*.5Q666 * 0 . 4 f l ? f O ~ 0 . 3 7 1 1 - .390699 -0.3R968 1 .392628 i . o ~ a 6 a 1 ,02089 1,056n 1 . 0 ~ 6 1 1 . 0 7 5 ~ 0 0 1 .07644 i .08SS3b 9.76128 1.10695 1.13OR 1;1621 1:112775 1.11259 1 , 1 1 1 2 4 7
- 0 . 0 3 9 0 6 -0 .09110 -0.065T4 ~ 0 . 0 6 1 0 7 -. '037086 -0 .03695 -.OS8900 I ? ? ? 9 ? ?
0,35601 0.?2606 0.61237 0.06067 ?
0'. 596 5 4 0.91969 0.73150 0 . 2 1 4 6 5 9
0,23899 0',.62566 0 ,72661 O,OS259 ?
0.'. 38905 0,72806 0,. 6 0 2 73 0 ,15504 T
0.06761 ?
0.6225 0.7738 0.4198 0.1691 T
a;b318 0..335065 6;8930 4.'701765 0.8S50 4.716633 0.08504 0.053607 7 ?
0 . 4 9 3 2 0.596666 0.801'1 0 .966230 0 .6261 3.'729576 0.1776 n . 2 1 2 1 2 1 7 9
a i 3 3 6 2 8 6.365650
0 .71531 0.7786SO 0.03374 0.060606 7 ?
0 . 5 4 5 q 2 0 .605847 0 . 9 0 6 44 0.906722 0.72851 0 ,710111 0 .21232 0;216156 ? ?
0.713164 0.~02t62
? ? ? ? ? 0 . 0 0 0 ~ 6 7 ? ? T 7 ? 0.02200 ? ? 7 I ? ? O.OSl l8 ? ? ? ? ? I -0.00013 ? ? ? ? ? ? ? ?
2 2
0 20
1 2 7
6 3
26 56
0 1 8
1 r 1 225
0 . 0 0 0 0 0 .0100
4 . 0 0 0 0 C.0000
0 .0000 0 , 0 1 0 0
T A B L t 69
2
20
'1
S
60
20
226
0 .0100
4. ooon
0.0130
2
20
7
3
6 6
2 0
227
0 .0100
6.onno
Q, 0 2 0 0
2
0
15
S
0
0
4 3 6
0 . 0 0 0 0
6. 0000
0 . 0 0 0 0
2
0
1 5
3
1 5
2 4
5 1 4
0.0000
6. a000
0 .0000
2
0
15
6
0
0
457
0. oaoo
6 . 0000
0.0000
68
TABLE 50
? 7
7 7 9 7 ? ? ? 1 9 9
S.95952 2.042 1.9'1636 k.106 1.34125 1.770 0 . 7 5 3 s 7 0.718 ? 7
-0.98i473 -0.51 0 1.91613 2.042 2.18164 2.402
-n.o-t231 -0 .054 9 7
n. 40723 0.372 0 . 9 5 6 9 8 0.842 1 . 0 2 5 1 5 1.180 0.06593 0.058 9 t
n . 7 4 4 1 5 0 . 7 6 0 1 . 0 0 4 ~ 7 1 , 0 3 4
n . ? s o o s 0.244 0 . 5 2 3 0 3 0 . 6 3 6
? 7
9 T 9 t P ? ? 9 ? t
2 2
0 23
1 2 1 4
4 3
26 36
0 1 8
i 72 285
0 . 8 0 0 0 0.8000
o .ooo1 o.nooi '
0.oooo 0.01"O
T A B L B 5 0
?
? ? ? ? ?
? ? 1 ? ?
? ? ? ? ?
? ? ? ? 7
? ? ? ? ?
? 7 ? ? ?
7
-o:'ooooo O"00109 - o *: o o o n o Ot02706
?
2:'94717 3 'i 9 2 5 86 1 ': 3 1 0 1 0 0.'730116 ?
-0;'!343O5 1 ..93315 2:*10021
-0;'063Jl 1
3:'39682 0: 819 0 6 1','01346 O' i06437 ?
0': 7 1 2 0 2 0 '.'999 7 1 0'.'31461 0:' 249 0 ?
0:'00109 0 '.' 0 29 7 L O : ' O ¶ l Q6 O:'OOOY9 ?
2
n
1 5
3
0
0
4 4 0
I ) . 8 0 ~ 0
~ ~ . O O U O
0 . oouo
2
0
1 5
S
15
24
5 1 5
0 . avo0
o.ouo1 0 . ouoo
a 3
0 2.93Sl ? T ?
0
? ? ?
T ? t ? ?
7 7 ? ? ?
T ? ? t T
2,0331 4.2020 T T ?
-O.¶Os6
-0.50S6 1.9660 ? ? ?
? 7 T 1 ?
t T ? ? T
9 ? 1 ? ?
2
8
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4
95
0
676
0 ,: 8 0 0 0
0 '.+ U 0 0 0
0': 0 0 0 0
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7 7 7 7 ?
7 7 7 7 ?
7 7 1 7 7
1::9393
mo'. 'S185
2 '.* 9 3 9 s I;' 1 1 28 7 7 T
m 0 . * 5 1 8 1 1.;'9558 ? 7 t
? 7 7 7 7
7 7 7 7 7
? I ? 7 1
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0 2.9021 7 7 7
0
7 1 7
7 7 7 7 7
1 7 7 ? 7
7 7 ? 7 7
2.9021 4.07(1¶ ? 7 7
m0.5268
m O . 1 2 6 1 1 1.9547 ? ? 7
7 7 7 1 7
7 7 ? 7 7
7 7 7 7 1
83
0 2.9486 7 7 7
0
7 7 7
7 7 7 7 7
7 7 7 ? 7
7 7 7 7 7
2.9496 4 . 0 0 f l 7 7 7
- 0 . 1 4 a q
, W O . 9 4 # 5 1.9617 7 1 7
1 7 7 7 7
7 7 7 7 7
7 7 ? 7 7
2
8
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0
677
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0
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678
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1
69
TABLES 51, 52
P L A N P L J R M 3 MODE S U T 2 MmO.8000 Ys1.0
Y a 11 11
-1.87907 -1.9905P -1.60941 -1','85271 4.27074 1 .16831 4 .232554 4:,'22841
-0 . YY698 -0.41906 0,. 380055 -0'.'38487 ? T ? 1
9.00803 s . 4 2 ~ 4 1 .76368a 4.79393
- 1 3 4 6 0 0 -1.469@9 mq.28109 -1;'28412
2.45090 2.50111 2 303193 2':37712
? ? ? ?
0.19151 0.06262 0.250126 O"21140
-0.16260 m0.17516 a .159257 -0:'19872
-0.73897 - 0 . 8 1 1 5 ~ - 607821 -0"61172S
- n . w 9 9 - 0 . ~ 0 2 2 1 -.347751, .0:'30969
-n.95594 mo.59436 - .593922 -0*.*5512a
0.89168 0.86187 0 . ~ ~ 8 6 2 4 0*!87238
? ? ? ?
-0.46612 - 0 , 4 8 9 4 9 1.431156 -0:'45579 0.95398 0.92700 0 .942646 O"91014 q . 29526 1. 311481 1.2150629 1*:2554s
-0.17791 -0,18187 ... 176S03 -0:'17515 ? ? ? ?
? I ? -0;'02066 ? 1 1 -0:'01329 ? ? ? 0,02759 ? 9 ? -0:'00776 ? I ? ?
4 . 2 1 3 1 0 1.56283 9.042029 4"08101 0.93S69 1 .48281 0..8O9609 o t 9 2 0 2 1 0.95688 0.951111 0 .936189 0'.*9S885 ? ? ? ?
3 . 8 7 5 2 9 s.da9s8 3 . a m m 3','855?6
- 0 . 2 ~ 6 7 8 -0 ,21506 0 . 1 7 8 ~ 4 0 -0':19579 2.63119 2.83951 2 . 5 4 1 8 0 8 2 ; * ~ 2 6 0 2.01709 2.33530 1 . 8 6 3 0 4 4 l ' i 8 6 5 S 8 0.04265 0,09765 0.059125 0:'05193 ? 0 ? ?
0.44199 0.38327 0.467088 0:'46125 1.07552 1, :2521 1 . 0 6 3 6 7 8 1 '03559 4.1781 3 1.35421 1 .078966 18!08U55
? ? ? ?
0.93007 0.93201 0.922S81 0'.'922118 1.088115 1, $ 6 5 7 0 1.037265 l "064S3
0 . 2 9 7 8 4 0.29541 0.20388o 0','29420 ? 1 ? ?
? ? ? 0:'00126
n. 0 7 9 6 5 0.06741 0: on6338 o: 'oe4ss
n . 4 ~ 0 ~ 7 0 , 5 8 4 6 6 0.460278 09:465i4
I
P L A N P L J R M 3 MODI! s a t z M n o . a o o o r.0.5
3 8 :1 11
- n . 4 v 9 5 0 -0 .51163 - . 492648 -0;'&9616 q.i:5373 3.107oe s . 1 ~ 1 9 4 ~ 3:'111a91
-0.1 1499 -0.11673 - .111596 R o : ' 1 ~ 2 ~ s L . 4 8 3 7 6 1.79773 1 .376092 4',*3R531
* ? ? ?
- 0 . 2 V 3 5 5 -0 .31790 m.233142 -0:'29160 -0.72933 -0.68830 m.6311376 -0:'663S9
1.74280 i ,84061 1 .802380 1:'783s3 -n. 0 a 5 ~ 5 -0. ~90441 U . 0 ~ 4 6 ~ 8 -o*.'08448
? 7 ? ?
-0 . I - i6S6 - 0 . l 2 0 5 1 = . 122256 -0 : ' lZ l03 0.33666 0.2792a 0 .335945 0:3s442 0 . ~ 2 0 7 0 o . d i i I 5 o 821841 0';8ion7
-0. b:5950 -0.03748 - . 536621 -0'.'OS631 ? ? ? ?
-6.1 1904 - 0 . 1 2 1 . ~ ~ ~ . i 1 7 Q \ i 4 -0:'11848 0.7,-,117 0 . 7 3 4 7 7 0 . 7 6 2 ~ 8 9 0;.;762ii
- n . o m 4 - 0 . 0 ~ 6 a i ! = . 0 i b o t ) 9 mo,,-0464s 1.19129 1.25901 1 .172574 1.17391
9 1 ? ?
? 1 ? r 0 : ' 0 0 4 2 7 9 ? ? -0'.'00291 ? 4 ? 0:026na ? ? ? -0:'00172 ? ? 7 ?
1 . 0 ' ~ 9 8 3 2.996Qr 3 . 091541 3'.'0Q439 4 . 2 1 3 9 3 1.+2677 4.132941 4:'15221 1.5 . . ;501 1.94527 1 . 3 8 1 1 0 4 1 ' . ' 40568 0.77146 0,76121 0 .768909 0:'76929 ? 7
-0.3567'4 - 0 , 4 5 3 6 I , 4 0 7 8 ~ i ~ -o';50601
2.11816 2 . 4 2 8 5 0 2.058051, 2:'06981 - n . 0 5 0 4 0 - 0 . ~ 4 1 0 8 1 . 0 4 4 9 5 k -0:'01688
1 ?
?.OS752 2.24499 2.:116;8 2:'09697
?
n .35 a09 n. ~ $ 9 7 0 4 1.09395 $.Ob435 * 0.76755 1.04892 0.96425 0.25729 ?
? 9
? ? ?
7
0 , 3 5 6 2 7 0 . 3 0 1 8 5 1 0.91619 0 919625 1.26348 1 0 6 6 6 4 0 0 . ~ 5 4 3 1 1 0.064962 ? ?
0 . i 6 7 1 1 0 767775
0 . 0 6 4 2 6 0 5 4 6 8 6 2
?
? ?
1 3
1 1 7
?
I. 1186t~ i . 0 5 5 1 8 a
0 . 2 5 3 9 8 o 236862 7
7
?
2 2
0 20
12 1 4
4 3
26 36
0 I 8
1 73 284
0.dOOO O . R O ? O
0.5600 o.so00
0. , 0 0 0 o.o1aa
T A R L E 5 1
2
0
1 5
3
n
0
441
U . 8nUo
0 . Sou0
0 . 0 0 3 0
111
-0.4935 S.1822
-0.11 21
-Q. 291 2 -0.71 16
L. 9a9a
?
i .7146 -n .oag3
?
-0 .1134 0.3422 0.7921
-0.0351 T
-0 .1163 0.7688 1. 2060
-0.0497 ?
? ? T T T
S.1512 4 . ~ 2 9 1.6050 n.?795 ?
-0 .54s7 2.0652 2.1436
-0.0505 ?
0;. 39 3 07 0 '.* 9 09 3 1 1 '.' 0 6 3 29 0 '.' 0 6 4 4 5 ?
0 ': 7 6 7 6 3
0'.~55211 0 ',' 2 5 69 0 ?
0': 0 0 0 6 1 O','OSI86 0': 0 5 2 5 8 0.: 0 0 0 2 1 ?
1 ': os a 3 13
2
0
1 5
S
1 5
24
51 6
0 . 8 U O O
0 . 5 ~ ~ 0 0
0 . 0 3 0 0
7
0. LO32 0.8698 1 .0777
?
0.7758 1.0661 0.5713
?
? t ? ? T
n. 0636
0.25194
2
22
1 0
3
s o
21
631
o ': a o o o
0': 5 00 0
0 ,: 0 0 0 0
0 '* 0 S9 5 3 * ? 1 ? 0': 0 5 489
? ? 3 9 ? ? 0': 0 0 U 5 1 ? 1 1 ?
2 2
0 2u
1 2 1 4
1 3
26 3ti
0 ? a
1 7 1 285
0 . aooo 0 .8000
1. ' ! O O O 1 . O O @ O
0. * / o o o 0.01 00
T A B L e 52
2
n
1 5
S
0
0
442
0.8000
1 . 0 0 0 0
0. oouo
2
0
1 9
3
1 5
e 4
517
0 * 8000
1 , O U O O
0.0000
70
6.12372 9.05506 6 .810089 6:'70837 1 . ? I 9 5 5 1.44080 2 015263 1','92720
T ? ? ? ?
6 .34634 1.741 3 4
1.35660 ?
1 . %A89
T 7 -0'.'16813 T 7 -0','08717 'I ? -o ' : oS l l o 1 7 -0'.'11662 1
5.35736 6.111935 6:'107S8
1.2135k 1 .1?5114 1'.'1?266 1.13653 1 21304s 1:'22a40 ? ? ?
7 ?
1 . m m i 301593 1','3?778
2 L 0 20
1P 1 4
4 3
26 36
0 18
173 280
0 .8000 o.aooo 4.1,ooo 4 . 0 0 9 0
0. 000 0 . 0 1 ~ 0
T A R L B 53
2
n
13
T
0
0
447
3.8OuO
4.0030
0.0000
2
0
1 5
3
1 5
24
5 1 8
0.8000
1. 0000
0.0000
P L A N P i j R M 3 MOUE S I T 2 uno
3 8 11
TABLES 53, 54 9300 KeO.0
11 a 5
0 . 0 1 ~ 0 0 0 - 0 . 0 0 0 ~ 0 - 000 0.77197 0,77214 0 772 l . ' l b O 2 6 1,30096 1 2 8 1 n.o.noo -o.uoono 1 . 0 0 0 7 T
? 7 ? 7 ? 1 ? 1 ? 'I
3.09415 3.058 1.66266 k.940 0.42167 1.066
? T 6.77093 0.750
-0.72Q65 -0.656 7.03618 3.276 7.82663 1.276
-0.1 (1071 no. 080 ? T
n . w s 4 6 0.348 n.95538 I . 0 5 4 1,67021 2 . 4 3 0 0 . 0 5 5 5 7 0.042 ? 1
6.77447 0 . 7 4 6 1.17206 1.232 0 . ~ 4 0 2 6 0 . 4 9 6 0.25868 O.LS2 ? 1
2 2
0 20
l t 1 4
1 3
26 36
0 1 8
176 29 1
0 . 4 5 0 0 0.9500
0. 001 0 .00n1
o., 0 0 0 o.fl1no
T A R L e 54
?
7
7
? ? ?
? ? ? ? ?
? ? ? ? ?
? ? ? ? ?
? ? ? ? 7
? ? ? ? ?
100 -0'.'00000 i71 0','77372 136 1:'287¶1 I30 -o':oouao
0 S . 08TO T T t
0
T T t
t T 1 T ?
T T t t
-0.6497
? 1
-0:'ooooo T O"00051 T O ' ~ 0 3 3 1 0 7
-0:'OOOOo T ? t
3:'08939 3.08'70
0':0997k 1 0','77068 T ? ?
4 * * ~ a s a 2 3 . s m
-0:'682S8 -6.6497 3"11790 1.0523 2.19995 t
-o:'oa828 T ? T
o : " w T 1','02786 t 1:'599Sl T . 0:'05303 t ? T
Oy77372 T 1'.'160Sb T 0:29309 T Oy258S6 T ? t
0'.'00051 T O:'OS740 t 0:'08308 T
2
0
I 9
3
0
n
44n
0.9500
0 . 0 0 0 0
0 . oouo
0:'00005 T ? ?
2
0
1 5
S
15
2 6
519
0.9500
o.ocro1
0 . 0 3 0 0
2
a 15
4
9 s
0
680
0:'9500
0 '.* 0 0 0 0
0 *: 0 0 0 0
7 1
TABLES 55, 56
P L A N P O R M 3 MODE s a 7 2 M R O . ~ S O O KaO.5
3 8 11 11 11
-0.13913 -0.47947 1 .384869 -0:'11340 -.420855 3.99814 1.05165 9.921386 3:'93378 3.961004 4.96314 9.60692 1.624510 4 : ' n 1 6 3 4 . 6 n 3 0 v
- o . o a i ? a -0.09071 =.ob9125 -o';o?56s - . O Z C ~ ~ O T T 1 ? T
-0.52686 - 0 . 5 6 2 8 i = . 4 ? 6 8 i i -0:'08662 -.492608
s.15107 3.435811 s .09001a 3*:02811 3.064011
T T 7 T
- 0 . 2 1 0 ~ 7 -0.2354s = . 2 n i i n -o:'i95aa - . a i 2 6 5 3 0.33103 0 . 3 0 3 0 ? 0.413106 0','98080 0.101279 1 . 4 ~ 1 8 5 1.47030 1 .344342 1:'275?1 1.125814
? 1 ? 7 T
-0.1 I 093 -0.121 1 i 1. I n1 121 -o;i 0686 -. 107187 0.95267 0 .96231 0.910353 o"93941 0.944168 1.12616 1.47551 i 269960 1:28799 1.269510
-0.04164 -0.04368 m.059235 -0 : '04056 -.010350 ? 1 ? ? 1
? ? ? ~ 0 : ' 0 0 8 0 1 7
- 0 . 3 ~ 5 4 2 -0 .24421 m.162039 -0"157S3 -.221477
-0.13824 -0.11251 * . I 1 9 4 9 6 -0','12451 -.126319 7
-0.06315 -0.079711 - . 0 5 ? 8 0 4 -0:'05719 -,062019
? 1 ? -0"00360 T , ? ? OtO4743 T
? -0:'00276 T 7 T 7
? ? T 1
1.66853 3.71949 1 .596142 3:'61661 3.4Y7418 4 . 1 ~ 0 5 0 1.56016 3 . 7 2 6 8 5 1 3','88979 3.906073
-0.88889 -0.57651 1 . 9 1 1 8 3 8 -0':84530 -.9158411 0.913a3 0.9165i 0 . 8 1 ~ 2 9 2 ~ 0: '89zl i 0.896966 T ? 7 ?
-0.25808 -0,16048 m.149191 -0:'21613 -.01106? 1.62717 5.92566 3 .40297s 3:'11713 3.446629 4.94374 2.02139 1 .232381 1:'4¶700 1.140480 0.05456 0.08224 0.071679 0.'05685 0.066988 ? T 7 ?
0.11503 0.40521 0.463520 0','14199 0.155216 i . 5 3 8 3 3 1.08071 1 .473363 l:'12056 1.516347 1. 13056 1.77587 1 .247979 1:'29995 1 .S00?16 0.07243 0.37368 0.086755 0:'08084 0.080192 ? T 7 T
n . 8 ~ 5 8 4 0.90633 o . s m 9 8 o:"os 0.889870 1.07813 1.18883 1 01 2 8 5 1 l " 0 1 5 1 6 1.019512 0.06570 0.13410 0 .031810 Of08473 0.066388 0.28998 0.20966 0.2n44u2 o:'aassa 0 . 2 8 6 9 ~ 6 ? ? ? 7 ?
T ? ? O8,'O0l15 ? ? T 7 0:'05681 T
? 0','0?39S ? 7 o:'oaor2 ?
? 1 T I ? T
7
3
7 ? T
z 2 2 2 2
0 20 0 0 0
1 Z 1 4 :5 11 1 5
4 3 3 3 6
26 36 0 1 9 0
0 1 8 0 24 0
177 29 2 449 520 460
0.9500 0.9500 0.9¶00 0.9500 0'.'9500
0.5000 0.'3000 0.50OO 0 .5000 0':5000
o . / o o o 0 . 0 1 ~ 0 0.0000 0.0000 0'.'0000
t A B L 8 55
P L A N P O R M 3 MODE S R T 2 MI0.9500 ~ ~ 1 . 0
I 8 11 11
-0.92962 -0.88011 m.824172 -0:'89015 4.79651 5 . 1 8 2 6 l 4.710699 4"81299 3.?61?2 1.36616 5.523S32 3':63017
-0.14003 -0.12711 m.138982 -0:'14689 ? 9 7 1
-1.68917 -1.20166 01.02926 -1:'OSlIS 0.63721 0.91028 0 . 7 9 0 2 5 0"6?874 2.88175 3.44571 2.981800 3!00l?a
-0.24515 -0.25579 1 .230226 -0:'24497 T 1 ? 7
-0.98554 -0.64511 m. 5S6060 -0:'5¶897
-0.15671 -0.16836 a.149278 -0','15012
0.?8127 0.756az 0.738266 0:'69625 1 . 3 2 ~ 2 1.6193a 1 . 3 w w 1:'32195
T 1 9 7
-0.26312 -0,253aa = . 2 b i 8 8 i -o: 'z~sss 1.09885 1.08949 1.100062 I :'I 0879 1 . 0 6 ~ 9 9 1 . 2 1 2 2 i i . o s 8 s 4 8 i:'os681
-0.12814 -0,12217 m.125387 -O:'12729 ? 1 7 1
T T 1 -0:'02522 0" 0 06 0 2
7 O t 0 5 4 3 8 ? t ? T
? -0:'00821 ? 1 T 1
6 . 0 m b 1 .23011 s . 9 ~ 6 1 4:'00777 ~ . 6 3 6 5 2 2,781311 2.3950341 2;511rla
- n . i 9 3 8 0 - 0 . 4 s i o o =.338075 -0,35955
9
? 7
0.91275 0 .94661 0.886198 0','90495 T T ? 1
0.16151 0.67488 0 533917 OY49169 2.10658 2.71756 2.373S39 2','139S6 0.47821 0.57540 0.426689 0:'50996
T ? 7 7
1.29076 1 .41191 1.207627 1','196?1 0.76269 0.95763 0 766401 0:'?8788 0.16SF4 0.16671 C.153095 0','14806 ? T 7 7
0 . 9 8 4 0 0 I .OS207 0.9?17OQ 0*,'984?8 0 . ~ 6 3 6 0 0 .80301 0.721045 0:'?16¶5 0.19805 0.14875 0 162168 0:'16545 0.29903 0.30236 0 .291491 o:'a9456 ? ' I 7 7
? T ? 0:'0139'L ? ,? ? 0:'011344 T T ? 0:'04751
? 0:'00368 ? 7
? T T v
0 . 2 ~ ~ 1 1 0 . 2 m a 0 .21011s ot;ao6is
o. 78332 0 . 7 0 6 2 ~ o 7 ~ 5 8 5 7 o : m o r i
2 2 2 2
0 20 0 0
1 2 1 4 1 5 15
a 3 S 5
26 ,36 0 1 5
0 1 8 0 8 1
178 29 3 490 521
0 . ~ 5 0 0 0 . 9 ~ ~ 0.9300 0.9500
l . , ; O O O 1 .0000 1.0000 1.0000
0.u000 0.0100 0.0000 0.0000
T A R L C S 6
1 2
TABLE 57-1
P L A N F c i R M 5 M O D E S I T 2 MR0.9500 Kn4.0
9 a 8
-6.3',290 -4.94363 -5.3679 4 . 4 ~ i S I 4 3.0022a 4.1232 2.54796 1.74270 1.1760
-2.9.1402 -2.5701 3 -7 .4096 ? 7 7
-3.68212 -2.80161 -3.2957 0 . 6 u 2 1 2 0.73020 0.4763 2.2(,497 2.47121 2.3431
- T . ? n b L Z -1.?3608 01.9235 9 ? 7
- i .9 , ,484 -2.318a4 -2.6633
1.20918 0 . w a 1 0.6S14 0 . 6 ~ 8 1 3 0.21466 11.1013
-1.17766 -1,60247 ml .6216 ? ? 7
-1 .6d010 -1.71586 -2.0550 0.59774 0.4L46a 0.4176 O.Rc175 0.535?1 0 . 5 4 7 2
-1.03855 -1.03016 -1 .7831 e 7
1 ? 1 T ?
4.72490 1, U981 3
1.15962 ?
1.81 067 1.43489 1,02320 0.5883s T
1 .ob957 0.87950 0.90301, 0.442[+8 ?
1 .16321 0.41608 0.32694 0.551?4 ?
T ? ? ? ?
I. 0 5 5 6 1
?
7
7 9
7 7
L . 07972
1.0342 1.1623
I. ,7782
7
1.8785 1.5696 1 .1029 6 . 3 3 5 6 7
1.6880
0.9177 0.4591
1.2102 0 . 4522 0.3656 0. 5196
n. 8706
7
7
7
7
7
7
7
2 2
0 20
17 7
4 3
26 36
0 i a
179 228
0 . 9 5 0 0 0.9500
I. < ' O O O 4.0O"O
0.(:009 0.0100
T A R L I ! 57 - 1
8
-4:'7272 4:'1828
-2,1967
- 2 ',* 6 2 8 2
2.4640 -1,7689
?
1:'039a
?
0:,:751 s
- 2': 06 8 2 0 .'3779 0:'801 a
-1 :'I778
- 1 :'I 8 0 7
?
0 , 9 0 8 4 0 '.' 9 I 3 1 - 1 '.'6 48 5 ?
? ? ? ? ?
&:'e549 0'.'9 I 9 5 0':9320 I y1542 1
1.787s 1,3982 0.9893 0,5351 ?
1 *,'6670 0- 8 0 8 3 0':8510 0 *.* 4 I 0 9 ?
1 *: 1 I 8 0 0'.'3394 0: 29 2 0 0:'5196 ?
? ? ? 7 ?
2
2n
?
3
66
20
2 20
0 . 9 5 U 0
4 . 0 0 0 0
0.0120
2
20
7
3
36
1 8
2YO
0.9500
I . ouoo
0.0210
8
-4.?09J I . 2 4 0 8 1.0634
-2.1871 T
-2.6016 0.7393 2.45SO
-1 .'7636 t
-2.0451 0. W O O 0 . t 9 8 2
-1. I701 T
-1.0756
0 .5468 - q . 6 4 5 7
T
t T ? 1 T
0.8625 0.9316 0.9126 1 ,157s I
1 .'1778 1 .S916 n. 9839 0.5357 T
1.6660 0.8012 0.8444 0.4428 T
n.5188
q.1416 0.3541
0 . 3522 0.2861
T
? T ? t ?
2
20
?
L1
36
19
231
0.9500
I . 0000
0.0210
a
4:2471 w 5 .'I 611
1.2538 -2.3818
?
-1.1908 0. 4667 2.31Sl
-1,8991 ?
w2.5593 O.lSO9 0.6579
-1, 5831 ?
m2,0901 0.4739 0.6026
-1 .7885 T
? ? ? ? ?
6.8858 1.0198 0.9698 1.1525 ?
1 .7974 1.4639 1,0615 0.5269 ?
1 .6370 0.8395
0.4YlO ?
1,28?S 0.4519 6.3536 0.5491 ?
? ? ? ? 1
0.8n50
2
B O
7
3
36
20
2 3 2
0.9101-1
4.0oon
0.0210
8 8 11 11
~ 9 . 1 9 2 4 -5.2129 -0.1082A -5 .40498 4.4385 4.S511 9.869001 4.68547 1 .21k7 - 1.1965 2.139707 1.2!444 2.3511 0 2 . S 5 1 8 -2.65379 -2 .68591
7 ? ? ?
-3 .1611 0.6759 2 . 3 l U
-1.8631 7
-2 .5050 0.1995 0 .6361
-1.55Q9 ?
- 1 . 9 b S I 0.490P 0.5661
ml .7991 7
1 ? 7 ? ?
4 . 9 5 6 6 0.9906 0 . 9 I l O 1.1508 ?
1 . a 0 9 9 1.4621 1.0616 0 .5254 ?
1 .6619 0 . 8 1 5 8 0.8758 0 . 4 3 3 2 ?
1 . 2 0 9 2
0.3431
7
? ? ? 7 ?
0 . 429a
0.91ai
2
20
T
3
6 6
2 0
25¶
0.9500
4.0000
O . O Z l 0
~ 3 . 1 6 0 7 0.4P88 2.29?4
-1. 6580 7
- e . 4941 o . i 8 B ? 0.6?46
- 4 . 5 1 6 6 7
-fl.9693
0.5689 ml .7984
7
7 7 ? ? ?
0 . iron
I . 9 u n 0.9saa
i .im 0.9401
?
1 .7941 1 . 4 9 6 0 1.6567 0. 1?13 7
1.6100 0 .8226 0 . 8 7 4 0 0.4S17 7
1.2008 0 . 6 2 6 7 0. 16#3 0 . !!A65 7
7 7 7 7 7
-2.OOaSO - 2 . 6 0 3 6 2 ? .073306 0.60907 3.019014 2.61729 -1.65?#6 -1 66512
? 1
-2.18609 -2 .25218 0.152135 -0 .10436 0.633118 0 . 4 ? 8 5 5 -1.56800 -1 .46550
? 7
- 1 . ~ 2 9 1 ~ - 1 . 6 ~ 9 l .OYl?YT 0.71366 1.267920 0 .91859 -1 .a4642 -1 .a1049
? 7
? - 0 . 1 1 745 ? -0 .04685 ? 0 .08329 ? -0 .10722 ? 7
1 .405677 5.16117 1.184419 1.12691 1.060505 1 . 0 4 3 4 0 1.293001 1 .28470
? ?
1.927109 1.61754 1.480812 1.3P870 1 .08277t 0 .98419 0.604055 0.54512
7 ?
1.5119913 1 .301 5 0 0.786990 0.72934 0.865829 0. t la197 0 . 4 2 6 Y b n 0 . 3 9 4 9 8
? ?
1.4Y8496 1 .31602 0.570661 0.55372 0.413021 0.45051 0.662192 0.64521
? 7
? 0 .04838 7 0 .04465 'I 0.06785 7 0.04 876 ? ?
a ZP
7
1
5 4
8 0
2110
0 . 9 g 0 0
I . do00
0 . 0 2 1 0
2
0
I 5
I
0
0
451
0.9500
4:OOOO
0.0000
2
0
15
3
15
24
522
0.05ou
4 . 0 0 0 0
0 . 0 0 0 0
13
TABLE 57-2
11 1 1 :1 11 11 11 11 11 11 1 1
-3 .01114 -1.6651;Y 1 5 . 1 0 5 -4:'625 - 9 . 9 6 1 -1:'6e0 -4.211 -4.590 -4.421 -4 565 a.17,:oaQ 3.Rs139s 5 . 2 6 2 s:608 5.357 s ' i 7 n i 4 . 2 6 R 5.029 5 . 4 3 4 4 YIO 1.861766 i . a s u 3 2 r 9 ? ? ? ? ? 7 ? -2.Oi286 - 2 . 7 1 0 6 5 ? ? ? 7 ? 7 7 7
9 ? ? ? ? 7 ? ? 7 7
-2.76119 -2,89402 02.972 -2','723 -2.141 -2*.'261 -2.276 -2.61a - 2 . 5 2 8 -.2.5¶6 ~.su&72o 0,757076 0 . 9 9 3 o," 0.676 0','607 0 . 5 7 8 0.799 0 . 6 4 0 o . 8 1 8 Z . 4 2 S S 9 0 2.404201 ? ? t 7 ? 7 7 7 - 1 .92616 -1.38057 ? ? ? 7 7 7 7 7
9 ? ? 7 t 7 ? 7 ? 7
- 1 . 7 ~ 5 3 3 -1,02877 ? ? ? ? 7 7 7 ? U . 6 1 2 0 6 6 0'..5+8092 ? 7 ? ? ? 7 ? 7 1.14'7807 1.1952'.9 ? ? t 1 7 7 ? ? - 1 .LS219 - 1 . 5 Q 4 L O ? ? ? 7 ? ? ? 7
? ? ? 7 t 7 ? 1 ? ?
- 4 .q '1 '965 -1.09??1 ? 7 ? 7 ? 7 ? 7 0 . 6 5 0 2 3 9 0.60316P ? ? ? 7 ? 7 ? 7 U . 9 3 4 i a0 o':aa77?fi ? ? t ? ? ? ? ? - 2 . 1 > i y a -2.94123 ? 7 ? ? 7 7 ? 7
q 1 ? 7 t 7 ? 7 ? 7
? I ? ? ? ? ? ? t 7 ? 1 7 ? t ? 7 ? ? 7 9 i ? 7 ? 7 ? 7 7 ? ? ? ? ? t ? ? 7 7 ? ? t ? ? 9 1 ? 7 ? 7
0 .35~ :384 6 . 0 0 0 4 6 1 5.656 5*.'05l 5 . 9 4 3 5.536 3.602 5.110 5.386 5.362 i .39, ,765 1.352770 1 . 5 1 0 1':43a 1 .501 1.293 1,51& 1.129 1.134 1 .133 1 . 5 0 ~ 3 8 q.397a60 ? ? T 7 7 7 ? ? 'I . 4 3 2 9 0 3 1.4d7355 ? 7 ? ? ? 1 ? 7
1 ? ? ? ? 7 1 7 ? 7
1 . 7 6 5 1 2 3 1.73.5710 1 . 6 5 1 1';651 1 . 6 1 9 3 .766 1.637 1.78J 1.792 1 . 7 1 3
1).94vQV6 6.934127 ' 7 ? ? 7 7 7 1 u . 5 4 ~ 2 ~ 2 0 . 5 ~ 2 1 4 ~ 7 ? ? 1 ? ? ? 1
? 7 ? 7 ? 7 ? 7 ? ?
1.702607 1.506766 ? ? ? ? 7 ? ? ? 0. 70;:oas 0*:7aa73e ? 7 t ? ? 1 ? 1 u . a Q s i 6 9 o . a m 2 1 ? 7 t 7 ? 1 7 ? 0.42u247 0 . 4 2 2 6 6 1 ? 7 t 1 ? ? 7 ?
? ? ? 7 ? ? ? ? ? 7
? 7 7 7 ? 7 7 ?
1 .4OY031 , 4 3 L 5 6 8 ? ? t ? d.593100 0'. '58Qll7 ? ? ? ? o.566478 0 . 5 3 9 3 ' 2 ? ? t 7 ? 7 7 ? 0.637202 0 . 6 4 3 5 9 1 ? 7 ? 7 7 1 ? 7
? t ? ? t ? ? 7 7 7
1.365690 1.353542 1 .277 1,295 1.266 1.327 1.510 1 . L s b 4 . L 3 t 1 .427
? ? 9 ? t ? ? 7 ? 1 ? 1 ? 7 ? ? ? 7 ? 7 ? ? ? ? t ? ? 1 ? 7 4 ? ? ? t 7 7 7 ? 7 7 ? ? ? ? ? ? 7 7 7
2 L 0 J
1 s 5.1
6 6
0 0
0 0
b61 164
0 . 9 5 0 0 0 . 9 5 0 0
4. . J O O O 4. nono
0 . 1 0 0 0 o.(rooo
T A R L e 57 2
2
0
1 5
L
1 3
32
721
0 . 9 5 0 0
4 . 0 0 0 0
0. O O C O
2
0
2s
1
23
3 2
722
0.9500
1.ouoo
0 . 0000
2
0
1 9
b
1 I
ar
713
0 '.* 9 5 0 0
L' :oooo 0 ,: 0 0 0 0
2
U
1 5
5
15
24
724
0.05011
4. nooo
0 .0000
2
0
15
6
15
2 4
725
0.9son
4. OOOn
0 . onon
I
0
1 5
S
4 5
1P
726
0:'9900
6 '.' 0 0 0 0
4 *: 0 0 n 0
2
0
15
3
15
4b
? Z V
9.9500
4 . 0 0 0 0
0.0000
2
0
15
3
1 5
LE
728
0 . * 5 0 0
L . 0 0 0 0
0.0000
74
I P L A N F O R M 3 MODE S E T 5 M*O!bO00 K m O . ' O
3 8 11 11
O.OOOOO -O.OOOOO ~ . o n o o n n r o . ~ o o o o 0 . 1 8 5 6 4 0 , 3 8 3 5 3 0.38S6RA 0 .58769
0 .00000 - 0 , 0 0 0 0 0 m.OF00n0 ~ 0 . 0 0 0 0 0
0.38564 0 , 5 8 0 ? 0.38568 0.68854 0 , 6 8 6 ? 0 . 6 8 ~ 4
-0 ,02751 - ,02518b 0 ,026575 ~0.02665
-0 .02751 - 0 , 0 2 2 ? - 0 . 0 2 6 6 5
2 2 2 2
0 2 0 0 0
1 2 1 4 15 1s
4 3 3 3
26 36 0 1 9
0 1 8 0 2 4
1 8 0 270 435 525
0.28945 0 . 2 9 1 ? 0.28982
o , o o o o o . o i o o o . 0 0 0 0 o .oono
0 ,0001 0 .0001 o.oofi0 0 .0001
o;oooo o . o i o o o.0000 o.oono
T A B L E 58
P L A N F O R M S MODE 8 E T 5 Uw0!'0000 K m l . ' O
3 8 1 1 11
-0.35379 -0'.3524O 0 , 3 5 3 9 f S 00~.35S81 0,24520 0,23615 0.213956 O'.24408
-0 ,14089 -0'. 14409 e , 1 4 1 5 5 1 d. 141 18
0.38459 0 . ~ 8 ~ ~ 8 0.38bosi o:sains
-0.11468 -0,11905 m,1166L5 ~ 0 . ~ ~ 6 1 6
0.68831 0,69142 0 , 6 8 8 2 f R 0'.68600
m0.02736 - 0 , 0 2 5 2 8 0,024774 00.026119 0,28939 Ol29948 0,289749 0'.20942
2 2 2 2
0 20 0 0
1 2 .l I 15 1 5
4 S S 3
26 36 0 1 5
0 1 8 e 24
1 6 2 201 437 525
0 .0000 0 .0100 0.0000 0~.000O
1 ; o o o o 1.0000 1 :0000 1'.'0000
0 .0000 0 .0100 0.0000 o~:aooo T A B L E 60
TABLES 58, 59, 60, 61
P L A M F O R M 5 MODE S E T 5 M=Of."OOOO KmO.'5
3 8 11 11 1 1
-0.088S2 *0'e08792 .,088SR? r 0 . 0 8 8 1 6 - .088?54 0 , 3 5 0 5 6 O , S ~ P S S 0 ,390267 0.35029 n.SS09sS
*O.O35PS -0.03624 -.OS5397 00.0S535 -.OS5111 m0.01980 =0.04118 *,0490k1 00.OL910 -. 'OS2035
0.585SO 0 ,58127 0.38S19b 0.38519 0.505346 0.68150 0,69246 O . ~ B M R A 0 . 6 n u 6 ~ 0.60860
-0 ,02747 -0,02372 g.026620 9 0 . 0 2 6 7 6 - . 0 2 9 9 i z 0.28944 0.29690 0 . 2 9 0 m 0 . 2 ~ ~ 7 2 o:za8099
2 2 2 2 2
0 2 0 0 0 0
1 2 1 4 1 5 1 s 15
4 3 3 S 6
26 3 6 0 1 5 0
0 1 8 0 2 0 0
181 200 4 3 6 524 &sa o . o o o o 0.01oo o .ooon o.oooo o.oooo 0 , 5 0 0 0 0 , 5 0 0 0 0 . 5 0 0 0 0,5000 0 . 5 0 0 0
0 .0000 0 ,0100 O.OOna 0 .0000 0 .0000
T A B L E 50
P L A N F O R M 3 M O D E S E T 5 M-Of.'OOOO Km6.0
S 8 1 1 1 1 1 1
~ s . 7 0 ~ 1 7 - 5 , 8 4 9 7 ~ - 5 . 6 6 9 ~ ~ -5 .66921 -s.67s72 - 1 . m 6 s -2 ,16366 . i .a8?9n r i . 8 a ~ 1 7 .1.8386~
-2 ,25306 -2m27612 *2.26407 82.26195 -? .25084 - 1 . 4 5 3 5 3 -1'.52005 ~ 1 . 6 6 5 3 6 wl .66368 -1.43065
0 . s 8 i z s o , s 8 0 ~ 2 0 . 3 ~ 5 ~ 5 o . s w 8 1 0.38~096 0.66601 0 ~ 6 a i s z 0,679097 0.67912 0 .67877a
-0 ,02570 -0 ,05032 w.0105S6 nO.OS072 -.02806S 0,288b8 0 ,26960 o,zsr?ha 0.28269 n . 2 8 5 5 0 0
2 2 2 2 2
0 2 0 0 0 0
12 1 4 1 5 15 1 9
4 S 1 3 6
26 36 0 1 5 0
0 1 8 0 24 0
10s 262 4 39 S26 & 59
0 , 0 0 0 0 0.0100 o.ooda o . o o o o o.oooo ( , O O O O 4 ,0000 4.0000 4 . 0 0 0 0 4 . 0 0 0 0
0,0000 0 .0100 0.0000 0 .0000 0.0000
T A B t B 6 1
15
TABLES 62, 63, 64, 65
PLi4NFOaH 3 MODI? S E T 5 M r O ~ 8 0 0 0 K.0.O
3 8 11 11
n.Oono0 ~ 0 . 0 0 0 0 0 - . o o O O o o - o . O O 1 j o O n.39145 0 .38832 0 .391327 0.39135
n.Oun00 -0 .00000 - .ooOOoo - o . O O o o O J0 .04322 -0 .03615 - . 0 4 2 1 0 0 -0 .04207
0.39q45 0 , 3 8 4 1 0 . 3 9 1 3 5 fi .fSR20 0 . 7 5 8 1 0.75611
40.04322 -0.036 ? -0 .04207 n.34R80 0 .358 ? 0 . 3 4 7 0 6
2 2 2 2
0 20 0 0
12 1 4 15 15
4 3 3 3
26 36 0 1s
0 I 8 0 24
i 8 4 287 AL4 5 27
0.8aoo 0.8000 o.8000 0.8ao0
o.ono1 0 . 0 0 0 1 0 .0000 o.O;,ol
o . o n o o 0.0100 0.0000 0 . 0 o 0 0
7nni.e 6 2
P C ~ N F O O M 3 MODE S E T 5 M.01:8000 K.1.0
3 8 1 1 I 1
- n . m 2 6 $0 .42193 1 . 4 2 0 7 2 2 - 0 . 4 2 ~ 0.27A90 0.25709 0 .277918 0 .27626
.In. 19423 -0 .20147 -. 193701 - 0 . 1 9 3 0 0 - 0 . 18088 -0.18959 -. 175993 - 0 . 1 7 7 0 8
0.81867 0.82259 0 .814456 0 .81435
-n.05539 -0 .05389 - . 1 r 5 2 5 1 0 - 0 . 0 5 3 2 6 0 . 38098 0.39009 0.3795b4 t .377a5
2 i 7 2
0 20 n 0
12 14 1 5 15
4 3 3 3
26 36 0 15
0 .42074 0.41421 0.420913 t . 4 2 t ~ O 6
0 1 8 n 24
i 8 6 289 446 929
0 . 8 0 0 0 0.8000 I ) 8000 0 . 8 ~ r o o
1 .on00 1 .ooO!, 1 . O O o o I .O;,oo
o .onoo o . 0 1 ~ O.OOOO 0 . 0 ~ 0 0
T m L E 6 4
P U ~ N F O R M 3 MODE S E T 5 na0:'1000 g.0.5
3 8 11 11
d 0 . 1 f ) I 10 - 0 . 1 0 0 6 5 -. 100678 -0 .101167 0 .36162 0 .35487 0.3615P8 0 .36123
i n . 0 4 5 1 8 -0 .04686 -.OASIS9 - 0 . 0 1 4 9 7 3n.07640 -0 .07302 - .074696 -0 .07667
11.39703 0.39333 0 .397017 0 .39683 n.771P4 0 .77800 0 .769499 0 .76933
h . 0 4 6 6 6 -0.01073 - . 0 4 4 9 6 8 -0 .01508 0 .55539 0.36689 0 . f 5 4 9 2 3 0 .35359
2 2 2 2
0 20 n 0
12 1 4 1s 15
4 3 S 3
26 36 ' 0 15
0 1 8 0 2 4
i 8 5 288 445 528
0 . m o o 0.8000 O . 8000 0.8000
0 . 5 n 0 0 0.5000 o. ,5000 o.So00
0.0000 0.01 00 0.0000 0 . OQOO
7anL.e 63
P C A N C O R W 3 MODE SET 5 M.OC8000 K I 4 . O
3 8 11 11
ab .08178 -4 .10464 -3 99382 -3 .58321 0 . 72180 o ,91204 1 .38041b I . 35267
-9 .45762 - 3 . 0 3 8 2 ~ - 2 . 6 5 5 1 0 - 2 . 6 4 1 3 7 40.2o401 ao.40886 - .2n876s - 0 . 2 1 7 3 0
n.81349 0 .94746 0 .806017 0 . 7 9 5 7 6
0 .59017 0 .68471 0.6L2241 0 .63552 0 .56077 0 .68353 0 .618137 0 .61203
1.497JB 1 .7201 8 1 .600216 1.98'132
2 2 2 2
n 20 0 0
12 1 4 15 1 5
4 3 3 3
26 3 6 0 15
0 1 8 0 24
1 8 7 290 447 530
0 . 8 0 0 0 0.80oo a . 8000 0.8000
4. uno0 4 .0000 4 . 0 0 0 0 4. 0000
0 . ono0 0.01 00 n ,0000 o.or,oo TXnLe 65
16
P L A N F ~ R ~ 3 MODE S E T MmO:9500 K*O. 'O
3 8 71 11
n.oirno0 -0 .00000 -.nooOoo - o . o o ! ) o o n.39773 0.38885 0.392016 0.39211
n.ottno0 - 0 . a o O o ~ -.onoOoo - 0 . 0 110 dn.05063 -0.04836 - .os4418 - o . o L !
n .3977 0 . 86 ? 0 .3921 1 n.8o7o2 0 . i o 4 0.80L14
-n.05463 - 0 . 0 4 8 1 -0.OS462 n.39118 0 . 4 0 0 ? 0 .38827
2 2 2 2
0 20 0 0
12 1 4 1 3 1 5
4 3 7 3
26 36 ' 0 1s
0 1 8 0 24
188 29 4 4 5 s 531
0 . 9 3 0 0 0 . 9 ~ 0 0 0 .9900 0.9300
o.ono1 0.0001 0.0000 o . 0 1 ~ 0 1
0.ono0 0.0100 0 .0000 0.0000
i n n L e 66
P L A N F O R M 3 MODE SET 5 Mmor9500 K.1.0
3 8 11 11
4n.48?26 -0.48242 -.474252 -0.17611 n . 5 5 0 4 8 0.33187 0.372988 0.35725
-n.271'15 -0.279311 -.269118 -0.26369 qn.2o140 -0.21409 - . 1 8 5 7 w -0.19600
6.47672 0.46792 0.48356s 0.47534 n.93978 0.94863 0.927806 0.92858
l n . 0 6 0 7 7 -0.05762 -.oh9920 -0.05714 n.52757 0.53704 0.5233si, 0.51081
2 2 2 2
0 20 0 0
1 2 1 4 1 5 15
I 3 1 3
26 36 n 15
0 1 8 n 24
q90 296 454 533
0.9300 0.9500 0.9500 0.9500
l . o n 0 0 1.6000 1.0000 1 . 0 ~ 0 0
o.Ono0 0.6103 n.0Ooo O . O t i O 0
T / J R L E 68
TABLES 66, 67, 68
P C A N F O R M 3 MODE S E T 5 Mm0f.t9500 K.:).5
3 8 i1 1 1 11
- n . l 1 1 4 8 - 0 . 1 1 1 2 ~ - . 111186 -0.1112S - . i i 2 i 4 6
-rn.05~64 -0.05684 - .0556 is - 0 . 0 5 1 , 3 5 -.034679 - n . l u n 8 5 -0.09879 0 . ~ 9 7 4 0 8 - 0 . 0 9 e i 3 - . l o i n 6 8
n . 4 0 ~ 4 3 0.39854 0 .406558 0 . 4 0 3 0 4 0.403863 n.84143 0 ,84797 0.838869 0.83g28 0 . 8 4 5 n l 6
-n .06750 -0.05854 -.061386 - 0 . 0 6 ~ 7 1 - .064n81 n . 4 1 9 0 7 0.43384 0.426116 0.41669 0.421967
2 2 2 2 2
0 20 0 0 0
1 2 1 4 1 5 1 5 15
G 3 3 3 6
26 36 0 15 0
n 1 8 a 24 0
180 29 5 453 532 bb2
-n.36749 0.35910 0.3704SS 0.36760 0.368117
0 . 9 5 0 0 0.9900 0 .9500 0.9500 0 .9300
0.5000 0 . 5 0 0 d 0 . 5 0 o o o . s o o o 0 . 5 0 0 0
O.onOO 0.0103 0.c;ooo o.Oi ,oo 0.0n00
T f t n L E 67
PU4NPoaM 3 MODE SET 5 MmOp9500 Km4.0
3 8 11 11 1 1 11
.93792 -2 .52232 -2 h9680 -2.76.392 - 3 . 58050 - 3 . 1 4 0 4 7 n.87678 0.69479 1 . 1 1 8 6 7 1 0 .78439 0 .912198 0 .951866
*i .79792 61.68969 -1 . t o 7 3 1 -1 . t 8 3 3 5 -2 .02170 -1 .97321 qn.04037 0.01496 0 . 0 8 6 0 6 7 -0 .06915 - . 0 3 2 0 5 5 1 . 0 4 2 2 9 4
i . 66a35 1,431!30 I. 3891 6 1 1 .29378 1 .917939 1 .303719 n . 7 l t 0 5 0 .68287 0 . 6 0 9 5 2 5 0.S7802 0 .757757 0 .703138
6 .58632 0 .61298 0 .667807 0 . 5 6 3 4 2 0 . 6 2 0 ~ 4 2 0 .396137 n.69116 0.52769 0 . 5 1 3 0 .48327 0 .921407 0 .511732
2 2 2 2 2 2
0 20 0 0 0 0
12 1 4 1 s 1 4 14 51
4 3 J 3 6 6
26 3 6 n 15 0 0
0 1 8 0 24 0 0
i 9 1 297 4 5 3 534 4 6 1 165
0.9qOO 0.9SOO 0 . 9 5 0 0 0 .9500 0 . 9 4 0 0 0.9SOO
6 . ~ n o o 4 . 0 0 0 0 4 . 0 0 0 0 4.ouoo 4.onoo 1.0000
0 . ono0 0.01 00 n . 0 0 0 0 0 . o t l o o 0 . O n O O 0 . 0 0 0 0
7Ani.e 69
TABLES 69, 70
?LANPORW 4 M O D E S t T 2 M.l.0000 YaO.0
6
n 3 .142 ? ? ?
0
? ? ?
? ? ? ? ?
T ? < ? ? ?
T ? ? ? ?
3.14 ¶ . 9 2 7 ? ? ?
-1 . Y71
-1.Y71 I 7 ? ?
? ? 9 ? ?
? ? ? ? ?
? P ? ? ?
1
0
0
0
0
0
6 2
1 . $1000
0 . iiooo 0 . do00
T A B L E 70
78
P L A N F u R H I, MODE S I T 2 HRl.0000 K ~ 0 . 3
4
- 6 . 0 6 7 1 3.0429 ? T ?
-n. 2231 - 0 . 8 3 5 1
? T T
? T T ? T
T T ? T ?
? T T ? T
3 .6293 3 .?3?0 T ? T
- 0 . 9 1 1 3 3.1840 P T T
T T ? T *
2
0
I T
3
0
0
5 8
1. ,:ooo
0.3000
0.1,ooo
T A R L B 71
7
-0 .u12 1 . 1 5 1 T P
' T
-0.220 10.728
? T 0
0 T ? 1 T
'I P T ? ?
T T P T ?
3 .936 0 , 9 9 4 T T T
- 0 . 8 1 4 3 .096 T T 1
T ? T ? ?
1 1 T ? ?
T T T ? t
7
eo. n i 3 . 8 8 ? ? ?
=n. 22 00.112
? ? ?
? ? ? ? ?
? ? ? ? ?
? ? ? ? ?
3.62 1 . 7 3 ? ? ?
-0.89 2 . Q 0 ? ? ?
? ? ? ? ?
? ? ? ? ?
? ? ? ? ?
I
52
r)
0
3
0
64
1. o o o o 0 . 3 0 0 0
0. oono
1
n n 0
0
0
7 2 0
1. oouo 0. J O U O
0 . ono0
1 1
-0': Ot9 2 0 3"41319 2 t 1 1 4 1 8
0.93185 - 0:' 1 1 9 2 L - 1 '' 0 16 88 1':21910 - 0" 0 5 5 8 3 0':31495
0 '.' 0 3 6 2 3
-0.13408 0': 0 08 4 3 - 0:'053Q 2
-0:'02U?7 0:'85667 0: '554S7
-0:'01077 0: '19452
O',' 0 0 8 38 0:.:11255
- 0 . 0 3 3 6 1 0:'00168
-0'.'0124k
3': 2 Q 3 6 6 1 i 9 1 8 1 4
-2,8?185
-0,681 68 - 1 ': 0 J 499 2:'278?8 0:'53553
*0','26126 0:'07387
0:'41969 -0 6691 I ,
o';%!Jlrl 0':11418 O',' 0 6 3 4 3
0:'82086 O'.: A9 3 56
- 0 . 6 8 0 S k 0 :.: 2? 0 16
- 0 . 1 5 0 w
- 0 ;.: 0 2 0 PO
0:;11220
0:;82l os
0'..11419 - 0 '.' 1 09 8 3 0:'06300 0:'042?6 0:'01910
2
99
1 5
s 1 9
2 1
741
1 . 0 0 0 0
6 .3000
0 :ouoo
D L A N F o R W 6 MODE S a t 2
1
0 . 0 3 4 9
? 9 T
7 .98a3
-n. 3869 -0.2852
T ? ?
? ? ? ? ?
? ? ? ? T
T T T T ?
7.94142
? ? ?
0 . 2737
-0 . 4SS8 1 . 9 7 1 0 ? ? T
? ? ? T T
T ,? T ? ?
? ? I 9 t
2
0
1 Y
3
0
@
50
1 . ,000
0 . 6 0 0 0
0 . V O O O
T A R L F 72
7
0.1502 5.6083 T ? 1
-0.3679 1 0 . 2879
T T T
f 1 T 1 1
T ? 9 P 1
? 1 1 ? T
3.5303 0.1002 1 ? T
- 0 .4620 1,506f; P t ?
? t ? 1 T
? ? ? T ?
? ? T 7 P
1
52
0
0
J
3
65
-0 3 . 1 .
- 0 . 0.
TABLES 71, 72
Ma1.0000 Km0.6
1
n0191
0 0 1 6 8
85389 13696
29632
- 0 . 3 9 1 11 - 0 . 4 0 1 1 8
1 . I 1 0 5 7 = ~ i . n 9 0 0 0 0.27896
0.175796 n . 32L32
0.01231 m 0 .00717
-0.00807 fl.QL220 I). 29732
~ 0 . 0 2 5 6 2 0.13871
0.01225 0 .08590
-0 .00741 0 . 0 0 1 5 3
- 0 . 0 0 4 5 0
3 .46196 i ) .36560
O.RJ153 nt?. 10563
-0 .93550 I .6&056
en. 71 5 26 -0 - 11038 ~ 8 1 . 1 6 5 64
0.3sO68 -0.17717
0 . 2 3 5 1 7 0 . n 9 i 06 0.09547
n.85190 n . 1 6 5 0 3
n . 27998
nn. 02368
m i . ~ 2 7 5
- 0 . 4 1 137
-0 . n a o i o
w f i . 0.09162 03876
n . 0 5 1 2 7 0 . 0 3 r s i 0 . n i 6 2 0
1
2
90
1 5
3
1 5
24
742
i . o o m I . O O U O
0.6000 0.6000
o.f lo00 i ) . O r ) O O
79
TABLES 73, 74
P L A N F ~ J R M 4 MODE S I T 2 M R 1 . 0 0 0 0 K m l . O
11
0.07294 1.?4387 0.60097
0.18’102
-0.49515 - n . 0 5 2 2 8
0 . 7 8 8 6 9 -0.10661
0 . 1 ~ 5 7 4
-0.01 083
0.65’162 0.29165
0 . 0 ~ 0 9 5 n. 0 ~ 9 6 1
-n.o( : ioz - 0 . 01013
0.1 xL48 - 0 . 07696
n. 11050
n. 01 n5o
- 0 . oon99
0.89726
0.0dO68 - 0 . 0 0 2 6 7
- 0 . 0 ~ 6 0 1
3 . 2 3 9 8 6 0.20417
-0.6s 992 0. ?‘a21 4
-0.13525
-n. 2 7 4 2 0 n . 9’1556
-0. L4408 -0.On377 -0.Od658
0.32156 -0.061 09
0.1 21 22 0.0s1s2 O.OL842
0.78S18 0.1t164O
- n . i m q 0.25784
-0 .01 !I99
0.08353
0. r)20&4 0 . 0 3 6 5 8 0 . 0 1 6 5 2
- o . r ) l w
2
90
1 q
5
I¶
24
743
1 . 0 0 0 0
1 .oooo
0 .0000
T A R L e 73
P L A N F i i R M 4 MOUE S U T 2 Mn1.0000 “2.0
7 11
-n.9207 -0.65157 q.Rc2S 3.74331 ? 0.21 2 5 1 ? - 0 . 4 S 0 5 L ? 0.12953
- 0 . ? 4 l b - 0 . 0 7 0 2 L 4.1579 0.14932 I 0.59926 ? -0,17370 ? 0. ’t 8 42 I
? 0.020~3 7 0 . 2 5 7 5 i 9 -0. 00356 ? -0.I.IO368 7 -0,00785
P -0.42870 7 0.92971 ? 0.13160 ? -0.653’8 7 0.11676
s - 0 . O 0 4 9 6 ? 0.3661 8 ? - 0 . U4766 ? - 0 . ~ 1 2 ~ 8 7 -0.00863
s . i s n 8 n. 2 3 5 5 P 7 ?
-n. io!Is 0.1’169 ? ? ?
3 . 0 5 5 6 3 0 . 2 6 5 4 8
-0.046?5 0.75069
-0.01 171
-0 * 1 1 491 0 . 4 4 5 8 6
-0. i 2607 -Q. U707li - 0 . u i 3 s a
I O.Zn829 v -0.*)1621 9 0.07811 P 0.07904 v 0 . ~ 2 1 8 ~ 4
? 0.17557 9 -0.01 008 ? 0.28969 ? -0. : ~ 1 1 ? J
? 0.37876 T -0 .00389 9 0.32201 ? 0 . d5375 9 0 . 3 1 0 ~ 0
? 0,
1
5 2
0
r)
0
0
6 3
1 .oooo
2.0000
0.0000
T A R L E 74
2
99
1 5
3
1 5
24
744
1. O O C O
2.0000
0 . ooao
80
D L A N F U R M 4 MODE S I T 2 M * l . O 5 O o K . 0 . O
6
n ? . ? S O 9
? ?
n - 1 . % I ?
7 ? ?
7 1 * ? 7
9
7 9
T 9
? 9 7 ? 9
7 . 9 5 0
? ? 9
-0.641
- 1 . 3 !7 4. 769 7
7 0
t
? T t T
T ? 7 9 T
T ? 7 9 P
Y
0 3 * 787 2 . 7 1 4 0 0.712
0 -1 ,363
1.952 0 0.506
0 0.582 0.069 0 0.01 5
0 0 . 9 0 7 0.712 0 0.265
0 0 . 3 A 9
-0 ,267 0
-0 ,003
7 7 1 ?, ?
T I ? 7 7
? 1 1 ? 7
1 I 7 ? 1
T T 1 7 7
19
n. n o o d o 3.54252 2.58791 0 O O O J O 0.63376
1 0 . b o o b 0 n l .29291
mi?. 0 0 0 ~ 0 0 . L4260
a n . noouo 0 . 3 5 1 7 5 0 . 0 6 6 4 8
O n . ooouo 17. n i 259
o . noouo n . ma1 1 i n. 63843 0. oooun
i . ~ 2 , 5 0 3
0.22148
n o . nOou0
s i . n1 290 0 . 0 9 2 5 6
ma?. 0 0 0 ~ 0 111.00285
3.94240 - 0 . 665 2 2 -6 .47354
0.87SL2 -1.44117
- 4 .29ZOl 4 . 3 2 5 G 5
m b . 24375 -0 .31653 00 .e7263
0.351 7 L . 81.34074 ~ 0 . 6 6 9 9 7
9.09212
0 . m 11 mO.lP&da Q1 .65?76
0.28191 -I7.12183
0.09256 0.081 00
m n 1561~1 0 0 3 9 5 0
- 0 . 02064
-0 . lS5b8
1 3
0 31,
0 3 4
n 54
n U
5 U
6 1 208
1 . 0 5 0 0 1 . 0 5 " O
0.0000 0.001'0
O.OFOO n.no0o
T A A L E 75
3
30
I4
22
n
n
5 3 5
' j . 0500
i l . O O U l
3 . o o o n
7 4 f
3n IJ 3n
3 L 1- '4 L
5 L 22 2 2
0 I) n
0 U n
701 65 5 4 6
1 . o s 0 0 I. ossa I . o s u o 0 . 5 0 0 0 0.30"O 0.3000
o . 0 0 0 0 o.no.0 o . o o u o
T A R L F 76
I
1
81
P L A N F O R M 4 HoDe S U T z M M . O S O O ~ m 0 . 6 I 9
n.146 3 . Ai16
n.240
- 6 . 2 5 0
n . 257
0. A60 0.026
-0.33s
0.886 -0 .070
0 .056 0.11’1
- 0 . 0 4 1 0. ou0
0 . 0 2 1 0.078 0 .260
- 0 . 0 2 1
- 0 . 0 1 ~
n.155
6 . 0 J 9 0.117
-0.018 O.OJ2
-0 .013
3. L71
-1 .152 0.899
n.0,:6
- n . J L i
- n . & l 9 1.376
-0.911 -0 .127 -0.2-3
0 . 4 1 1 - n . i 3 4
n.117 n . 0 2 0
o . 0 6 0 - 0 . s z i -n . 063
n . 1 1 7
0.050
0 . 8 9 9
0.116
- 0 . 0 3 6 0.020 0.953 0.016
s 30
3 1
S 1
0
0
s o 1
1 0
0.0920 3.53 ? 1 ?
-0,314 -0.26
? ? 1
? ? 1 ? 1
1 1 t 1 1
1 1 ? 1 T
3.22 0.17 1 I 1
- 0 . 4 0 1.29 ? ? 1
? 1 ? 7 1
1 ? ? 1 1
7 1 ? ? 1
4
r)
1 4
22
0
0
69
10
0.12656 3.64766
0.017os 0.23797
-0 . 32001 - 0 . 21751
0.15037 m0. 07041
0.21366
0.03152 0. 38631
mO.Os438 0.00652
-0. 01 ’106
0. ~ 0 7 5 8
n. 01 827 0. (18277 0.2J802
0 0 . n z i 0 6 0.13032
0.00666 0.10350
-0.01 5 3 5 O . O O i 2 L
-0 . 01 070
3 .12787
-1.39320 O.SO523
-0.28687
-0 . LO730 1.31693
n 0 . 861 26 -0.11 S45 -0.17976
0.58273 -0. 11S6S
0 .00901 0.10163 0 . 0 1 489
0.11 173 0.06497
0.26672 ,
0 .10220 -0.02773
0.01 473 0.04276 0 .01172
n . 06200
-0.29220
-0.09102
3
3 0
1 1
22
0
0
5 37
\I. .:500 1 .OS00 1.0300
0 .6000 0.6000 0 . 6 0 0 0
o.,,ooo 0.0000 0.oouo
T A R L E 77
TABLES 77, 78
D L P N F l i R W 4 MODE S I T 2 MR1.0500 Km1.0
0
0 . 2 4 6
n. Sdn n . o i 7 n.712
-0 .117 - n . q s s
n . 3 2 s
3.662
- O . @ V ’ 1 O . ? l O
n. 085 n . 3 5 0
n.022
0.017 n . 9 7 9 17.712
-n. 062 0 . 1 ~ 7
n . o v u - 0 . 0 1 1
n. 906 -n.a3 r(
n.n ,s
-n. 0 2 ~
- 0 . 2 ~ 1
- 0 . 3 7 3 - n . 096
n.241 - 0 . 1 i o
n . 9h0
0 . 0 3 2
-0 .017
-0.411
0.022
1 . 2 4 6
-0.4’/2 0 . 8 5 3
0 . 7 7 1
- 0 . 0 6 0
6.1 12
0 . 8 3 3 0 . 0 7 8
-n. w,n n. 290
n . i e 1 2 -n. o $1
n. 032
- 0 . 0 1 1
0.044 0.020
3
30
3 1
5 1
0
0
3 0 7
19
0.20410 3 .52041 0.56453 0.001 Sk 0.10136
-0 , 4 0 8 3 a - 0 . o s i 7 a
0 . 0 8 9 5 i -0.38800
0. in640
0.07378 0.33250
-0.01 35a 0.01741
-0 .OO9Ok
- 0 . 07397 0 .13070
0.01767 O,i)873O
-0.un9nlr 0.00LlB
-0 ,00681
3 . I i 2 8 1 0. iJ11n9
-0,47927 0.71751
-0.08081
- 0 . 2 4 1 4 i 0.7L973
-0,36257 - 0 . on663 -0.062 511
0.33938 -0.3061A
0.078OO 0.09047 0.02603
0.75308 0.d8227
-0 ,38556 0.23417
0 . UPOo5 -0.02583
0.02607 0. U382ll 0 . U 1 600
-0.01 3 3 1
3
30
1 4
22
0
0
538
1. i / S O O 1.0500
1. rs000 1.0000
0 . do00 0.0000
T A R L F 78
82
P L I N F i i R M ' 1 HODE S t t 2 M R l . O S O 0 Y m
0
- n . 470 3. bit6 0.272
-0.412 0.125
- 0 . 7 1 6 n . i s 7 n. 999
-0.2,in O. lY4
0.666 n . w 7 n . o l s 0.001 0.0..6
-0.412 1 .?ti? 0.129
- 0 . 4 7 9 n . w s n . o o i
-0.n.10 n.a. : i
n.223
0.081 0 . 0 . , 4
7.110
- 0 . 0 4 0 O . R l r 3
-0.022
-n.110 n. ~ ' ( 4
- 0 . 1 ~ 2 -0.063 - 0 . @ 2 5
0 . 3 0 A - 0 . 0 3 1
O.Cs7 0 .0 , iA
0 . 8 4 3
-0.022
-0.022
0 . 0 8 7 - 0 . 0 0 4
n . 9 4 3 0.070
0.nsn
n . l b 5
n. 379
n . o l n
7
3"
3 4
56
3
9
3 1 0
1 . o s 0 0
2 . 0 0 0 0
0.0000
T A B L E 79
19
-0 44837 3,6609a 0.271Q0
-0.~7480 0 . 1 2 2 v - 0 . 6 7 4 6 3 0. 8 4611 0.56950
0.1?600 -0. i 9 2 ~ e
0.06768 0.27760 0. u l 7 5 8 0. d0tn3 0.30451
-0,36953 0 . 9 4 6 4 1 0 . 1 2 1 ~ 1
-0 , It1 01 0 0 I 08841
0. 37073 0. 00463
-0.01 656 0 .30186
0, 0 n 3 u
2 . 9 ~ 8 8 1 0.L13Q0
-0.063S0 0.73O7U
-0. u 1 9 m
- 0 . i 0069 0 . 4 4 6 4 i
-0.1 1 OLV -0. ~ 5 9 0 3 - 0 . 0 2 0 Q O
0.2920i) - 0 . ~ 2 9 4 7
0 . .I5606 0 . 0 7 6 $ 0 0. J 1 73 r)
0.7545'1. 0.1 51 46,
-0 .31 8 9 1 0.31083
-0. 31 8 9 0
0 .37680
0 . ~ 1 7 7 1 0 . 1 ~ 3 3 7 0
-0. ~ 6 3 4 1
0. m 0 1
3
30
1 4
2 r
i)
0
9 3 Y
1 .05?0
2 . oooa
0 . ooou
TABLES 79, 80
P L A N F O R M 4 MODE S I T 2 M R l . 2 0 0 0 "0.0
n 1 ,750 ? ? 9
n -0.5'19
? ? ?
? ? ? ? ?
? ? 1 0 ?
P
? 9
? ?
1 . 7 5 ~ -7.2 '13
9 ? ?
-n. 379 0.411 * ? 9
? ? ? ? ?
? ? * ? ?
? ? t ? 7
1
i n n
n
0
F
6 0
1. zoo0
0 .0000
0 . 0 0 0 0
T A B L E 80
9
0 3.951 0 . 7 5 7 0 0.260
0 - 0 . 3 0 8
1. U75 0 0.287
0 0.538 0 .335 0 0
0 1.010 0 .260 0 0.162
0 0.097 0 0
-0. ooa ? 1 1 ? ?
1 1 ? ? 1
I ? ? 1 1
1 ? ? 1 ?
T 1 ? ? 1
3
3u
3 4
2 0
I)
0
299
1.2000
0.0000
0.000u
IQ
~ . n o o o o 3.75058 0.75682 ~ . 0 0 0 ( 1 0 0 . 2 1 7 4 8
0. noooo
o . noooo
- 0 . S6770 0.09806
0.21091
f i .00000 0 30750 O . O l O 8 5 ~.00000 0.00203
0. n o o v o
0. noooo 0. 13517
~ . 0 0 0 0 0 0. n8453 0.00211 n . oonuo
9.00757 0.21724
m0.00546
7.7565'1
0.49330 0.90268 n.142U3
-n . 3 6 7 7 0 il. LOT20
- 0 . &CO77 -0.10852
m2.28517
-o.n7030
0. so740
W O . no206 17. narzz 0 . 0 1 492
0.007S7 00. 4 4 8 7 0
'1 :l 4 3 8 3 17.27S2S
ni'. 13090
n . n i s 9 4
17.oa453
0 . n i 571
n q . 03935 81-01 4 Q Z n . 0 3 5 4 2
3
30
2 2
37
n
n
5 LO
7.20uo
0 .0001
~ . O O O O
83
P L A N P O R M 4 M O D E S I T 2
9
n.188 3.Z74 ? ? ?
-n.d 14 - n . 4 ~ 1 .
? 4 ?
9 ? ? 9 9
? ? T ? 9
? ? ? ? 9
S . 3 7 0 - q .6C7
? ? ?
-n. ~ 4 5 n. 554 7 ? ?
7 T ? ? I
* * ? ? 9
? 9 ? T 1
1
1 0
0
n
n
d
61
1 . L O
0 . ~ 0 0 0
0. .0OO
9
0 . 2 0 5 3.531 0.915 0 . 3 4 4 0 . 2 ~ 3
-0.u05 -0.446
1 , 0 6 8 -0 .301
O.Ul0 0.509 0 . 0 4 0 0 . 0 0 3 0.302
0 . 0 4 4 0.907 0 . 2 8 3
0.170
0. U03 0 . ~ 9 0 0.003 0 . r )O l
- 0 . u05
3.527 -1.1122
0 . 2 1 4 0.907 0 (I U77
-O..t70 0 . S l
- 0 . 5 5 0 - 0 . 1 L 4 -o . inr (
0.289
-0. on1
0 .566 -0.003 - 0 . d 2 3
0.090 0 . U l l
0.907 -0.349
0.U77 0 . 3 0 5
- 0 . 0 0 7
0.UQO -0.u32
0 . u l l 0. J b l 0.d17
3
3 [J
34
20
0
0
302
1.2000
0. 30')o
0 . 0 0 0 0
T A R L E 81
n
n . n .
3 0
M O .
-0.
M q 1 . 2 0 0 0 K m O . 3
1
3n
2 2
I?
n
0
541
1 . 2 0 0
TABLES 81, 82
D L A N F I ~ R M 4 H O D E S O T Z M.l.2000 Km0.6
4
n .749
n .310 0 . 1 5 5 n . v f q
- 0 . L,:S
-0 . n ,7 n. ?(,n
n. T ~ I P 0 . 0 6 ~
-n. ~ 3 9
n . 1 5 5
-n.n 5 n.?,,o
6. n y g 0 . 0 9 2
n.oq5 0 . 0 1 7
7.058
- 0 . 9 L 6
0. OLA
-0 .183
- 0 . ?41
0 . 7 9 5 0 .269
-0.627
3 . 0 5 6 -1 .977
0.620 n. qa9
- n . i v
0.362
-0 .160 - n . i 5 n
- 6 . 9 1 7
-9.371
0 .729 0 . 4 L 3
- 0 . s27
n . n 6 0 n .ohn
n. 749 - 0 . 2 7 3
6.156 0 . 2 9 6
-0 .066
n.1 t b -0.2, o
n . 1 8 9 n. 047
- n . o , n
T
3n
31
26
CI
0 -
T O 5
19
0,34836 2 . d37P.l 0 ,95577 O.OS878 0 I L R 0 2 0
- 0 . l f l 7 1 L -0,37977
0.88841 - 0 0 U2371
0 . 2 3 4 9 0
0.00117 0 . 2 7 0 4 0. d20°3 0. U 0 1 :7 0 . 3 0 1 ~ 1
0. U5987 0 . 0 0 4 9 0
-0 . J Z O 6 S 0.14661
0 ~ 2 ~ 0 7 1
o . u n i ? i
0. m o o - o . o n o i s
0.071Lb
-0. U0276
2 I 73083 - 0 . 4 b 0 5 8 -0.34274
0 . 6 6 8 4 2 - 0 , 0 6 2 9 s
-0, .*7633 0 .75123
-0 .51657 -0. 13927 -0. ? n4n0
0.251'b 0. U0770
-0.u455g 0. U6836 0.000511
0.071 21 -0 . 32652
O.LS568 - 0 . d 2 8 q S
0.068q7 -0.00268 0.U0045 0.d3U0S 0. lJ I 0%
-0. u 6 2 8 i
5
3u
2 2
1 7
U
J
5 4 2
1. LOO0 1.2OhO
0.6000 0.60"O
0. ,000 0.no"o
T H R L E 82
84
PLANFc'rRH 4 M O U E S E T 7 M111.2000 Y.1 .O
1
30
34
24
n
0
7 0 4
I . Lnoo
1 . I 000
08. ,:FOO
T A R L E 83
19
0. 0 7 5 6 i 2.95568 0 . 5 4 0 9 1
-0. ~ 1 8 6 P
-0.39023
0, G 0 6 Z l
0.77858
-0.01951, U. 3 1 9 4 1
-0. uL2nO
- 0 . O 0 9 5 0
0, 'io K O 1
-0. u m a
- 0 . 0 8 6 d i
- 0 . 0 n 5 8 ~
-0. UL751 0.72587 0.1930b
- 0 . 0 0 7 7 1 0. i 2 3 n I
-0. u05r)i l 0 I U B O N J
-0. ony 5 3 - 0 . u o 4 0 i -0.002L8
2.5866Q 0.20456
0,037:tti -0. uO6nl l
-0,27971 0.66671,
-0 * 362'23 - 0 . u 9 Y 2 0 -U. 07356
0.2?2"3 -0. ~ e s o a
0.01 142 0, 0 7 5 4 i 0 . 0 0 8 6 7
0.63978 0.14607
-0. UP671 0.24351
- 0 , O T 8 ? 7
0 . 1,7563 - O . O O O l ! ,
0.00861 0.33131 0.i)08nd
- 0 . 4 0 5 8 1
3
31,
2 2
1 7
0
3
9 4 3
I. 2000
1. nono 0. oo'?o
TABLES 83, 84
P L A N F O R M 4 MOUE S I T 2 Mn1.2000 "2.0
c
n. 4h7
- n . w i
-0.721 0.254 n. 612
-n .z17 0.1511
- n . i i i n . w
-0 . n z s
n. o;,i
-n. 070 n.851 n.i.56
2.64'0 a. 639
0.131
-0. e60
- 0 . l U P 0 .1S9
0.141 0.066
-0.024 n . i \ . n n . 0 6 ~
- o . n , l i
- n . i a i
- n . 1 'I !I r).Tsn
-n. 041
-n. 0 1 1
n. 480 n.1 ; q
- n . i 3 n n.111 n.odo
n.631 n.061 n. i (,;5 0.770
I . 0 7 2
0 . 4 . : 0 0.633
-0.047
-0.076
0.020 -n. 078
n . i t E 7 n.nso
- 0 . 036
1
3 0
3 L
26
n 0
S I 1
I!,
- 0 . 4 5 8 7 Y 3.1972Y 0.21 2 Q l
-0.36861 0.086n8
-0,569 5 5
0.49221 -0. I 7 0 3 1
0 .151 5 0
-0.0001~ 0.2701 I
-0. U1 316
0. '121 5 0
-0. UOI 06
-0. ono88
-0,3467 8 0.87066 0 . 0 8 6 0 3
0 . 0 5 6 6 l
-0.01 331 0. 0 7 2 / t I
-0. U0081 -0 .01 833 - 0 . U 0 l l 8
2.63036 0.22000
-0. 02276 0.00913
-0.01 313
-0 .35793
-0 .10563 0.30382
- 0 . 1 ~ 1 5 0 - 0 , 0 4 9 2 7 0,02083
0,26026 -0.31 173
0.0401 3 0.071 4 1 0.01 2 8 1
0.70100 0.1SSn7
-0.013n9 0.31712
-0.01 348
0 .07157 o.ooo1a 0.01291
0. 0073a 0,05409
5
30
2 2
1 7
0
U
5 1 4
1 . io00 1.2000
2. ~ 0 0 0 2 . 0 0 ~ 0
O."OOO 0 . 0 0 ~ 0
T A R L E 84
85
PLANCIJRH I M O D E SMT 2 H.2.0000 Y m c i . 0
2 9 10
n 0 0. noouo 1.0761 2.U67 1 . ~ 6 6 1 2 ? 0.032 n . n 9 i s 8 n 0 0. ooouo n.oa094 0.393 0.116587
0 0 17. ooouo -0.05356 -0.081 - o . o ~ Y c , ~
? 0.41 2 a. 57775 , n 0 - 0 . aoouo
n . i m 0.156 n . i i a i s
? 0 0. noooo
T - o . o i o n . n o 7 ~ ? 0 -n. ooouo ? - 0 . ~ 0 3 n . n o 3 i s
n 0 ~ . o o o u o n . q L i i 0 . 5 1 6 0 . 5 1 8 2 0 7 O.US3 0.06S66
n.n0qg2 0.065 0 . 0 6 1 5 4
0 0 - f l .00090 0.n4464 0 . ~ 5 1 0.04506
-0.003 0 . 0 0 3 1 4 n 0 - 0 . ooouo
n.00247
? 7 1.06812 7 1 -0.161 88 T 1 0.19550 ? 1 0.51718 ? 7 0.02042
T 7 -0.04960 T ? 0.17264 ? 7 -0.02915 t 7 -0 .651 77 T T -0.01106
T 7 0.16028
? 7 0.02428
? 0.176 17.16028
n 0 -0. O o O U o
I '
I I u .on1e i6 o
T 1 -0 .n i 017
? 7 n. 0 ~ 2 9 0 T 1 0. no588
I
I T 1 0 . 5 1 620 T 1 0.02376 T 7 0.02064
T 1 -0.00726 T ? n .22141
7 0 . n i 3 o t i I T I T ? I 1 0.00S89 0.0021 0
? ? 0.01894 I T T 0 . 0 0 1 84
1 J 1
0 50 30
0 3 4 30
0 1 0 0
0 U 0
0 0 0
57 3ou 545
2. U000 2.0000 2.0000
o . : J o o o 0.00n0 0 .0001
0 . ,000 0 . 0 0 ~ 0 0 . 0 0 ~ 0
, I
I ' I
T A R L I 85
TABLES 85, 86
D L A N F L J R H 4 MOUE S E T 2 M ~ 2 . 0 0 0 0 K m O . 3
P
0.DZl
-1 .6'<6 0.0.,1
2 . c s n
n.479
0 -n.
0.153 -n. b 11
n . 9 9 6
- n . r , - 2
0 . V l 0.01;2
- 0 . 2 % ~
-n. IVR
n.n. , i 0 . 5 7 3
-n.&r;2 - 0 . O , . L
0.236
-0. 0;,2 0 . 2 2 5
-0.23 5 -n. n :5
n . i h 8
2 . 0 0 0 -0.2 -0. ?an 0 . s ',' 3 0. 3: .0
-0. e 6 5 0.195
-n.1,54 -a . O L ~
0.027
- 0 . 2 9 2
0.241
-0 .1 . .2
- n . i 8 3
-n .o54
0.97s 0.014
-0.145 0.761 0.176
n . 2 2 3 n.nv6
n. 074 -0.150
0 . 1 i 8
19
0.u17O9
0 . d9956 o.uoo54 0 . 3 6 4 7 3
0.00126 - 0 , 04802
0.37860 - 0 . ~ 0 0 6 0
0.11 8n6
0 . U01 20 0.198"9 0. 308'0
-0 . 00007 O.uO3'7
0 . J0Osll
i . ~ 5 1 6 a
0 . 5 1 6 7 a 0 . 0 6 4 5 3
-0.un335 0 . 06076,
" 0 . 0 0 0 ~ 9 0. J 4 2 Q S o . u n ~ 7
- 0 . uno37 0 . un23e
1,95300
0.18965 0.51463 0.02832
- 0 . 0 4 9 0 3 0.17533
- 0 . 0 2 6 4 -0 . ~ 3 2 2 2 - 0 . 3 1 129
0 . i w a -0.06911
0. ~ 2 3 7 9 0 . ~ 2 7 9 0.00573
U. 51 563 0 . J Z S B ~ 0,0287J O.LZ157
-0.00731
0.04281 0 , Un2?7 0 . U0580 0.d18QY 0. U0187
- 0 . i 50'0
3 3
3 0 30
3 4 30
I 0 9
0 U
0 0
3 0 1 5 4 0
2. , 0 0 0 2 .0000
0 . 5 0 0 0 0.3000
0.s 000 0.0000
T A R L E 86
86
19
0.u6389 I . 9 0 7 6 i
0.000V 0. ~ 6 6 7 1
0. i 2047
0.30278 - 0 . ~ 5 3 4 a
0. I I 768
0. ~03119
- 0 . ~ 0 0 ~ 3 0. on322
0 . uno67
0 . 3 0 2 7 -0 .00317
0.15571, 0. U0960
0.51 1 6 1 0.J6655
-0, UI 367 0. US846
-0. uno41 0. 04271 0. U0321
-0 . U01 4d 0. U025 0
i . 9 i o 8 a -0 .1191$
0.1731 S 0 .5n763 0 . ~ 2 5 7 7
-0. us709 0, *I 82’3
- 0 . 1 ~ 3 0 ~ 9 -0. d3375 -0 . :)I 1 85
0.15525 -0.0061 b
0.0222k 0 . ~ 4 2 7 7 O.u055!!
0. SO860 0.O316O 0. U2557 0.22220
0. u423!! 0. 0 n m 0 . 00556 0.31920 o . ~ n i o o
-0.9J0733
3
3n 30
3L 30
I O 3
n i)
b 0
7 0 6 547
2.,;000 2 . 0 0 0 0
0 . 6 0 0 0 0 . 6 0 3 0
o . , 000 o.no?u
TARLI ! 87
TABLES 87, 88
PLANFIJRM L MOUE S E T 2 M ~ Z . 0 0 0 0 Y.1.0
9
0.151 1 . v 2 0 n . i i :6
-n. 0 , : 4 n . o s o
-0. o j r n -n .or2
n . 4 7 6 -0.0.1 3 0.134
0.Oi;8
-0. 0*.;6
- 0 . 0 , : 2
- 0 . 0 \ 1 4 0.966 0 . 0 S R
- 0 . 0 4 6 0 . 0 5 2
0.166
-n.n.,2
-0 . n,)2 n.bso
- o . o . > s - o . o i / l - o .o t ! l
1 . 9 1 6 -0. I :.;z
o . i S n n . 9 ~ 0 n . n l o
- n . i t n n.2.18
-n.o48 -n.o.lo
n.163
n . 0 2 3 n . 0 4 0
0 . 9 ~ 0 n. 03s
n . z a 9 - n . o i i
n . 6 4 0 n n. n1.7 n. 0 2 5
- 0 . 0 5 3
- 0 . 0 1 1
0. ! x * 7
O . @ l 9
O.@i :3
qY
0.129Q6 ’I .a5263 0 . 1 s 4 2 5
-0.008Q7 0.3681 5
-0. UOSZ1, -0. O Y 780
-0. U1 121, 0.11 593
0.151 24 0 . 0 1 1 0 3
-0.00213 0.00296
0.37979
0. on586
- 0 . u n m 0.50667 0. U 6 a n l
-0 .33965 0.092311
-0.00210 0 . U4277 0 . U0293
- 0 . 0 0 4 7 1 o . o n i u
1 . 8 2 8 6 5 -0. 3s597
0.14037 0 . 4 9 4 O 3 0.01969
-0.07363 0.19653
- 0 . 0 3 6 ~ 5 - 0 : 03487 -0. UI 277
0.14870 -0. d o 0 5 5
0 . 0 1 ~ 5 a 0 . ~ 4 1 5 1 0. ~ 0 5 1 5
0 . 4 9 5 7 9
0.01986
-0. U071 4
0.041S7 0.1~0363
0.1)~27k
0.22468
0 ~ 0 0 5 1 6 0.J1975 0 .U02o l
? 3
3n 5U
34 30
1 0 9
n 0
0 i)
7 0 9 548
2.q-000 2 . 0 o o 0
1. , i o00 1. OOSJO
o.:;ooo 0.00’)0
T A R L E 88
0
f
30
3 4
i n
0
0
31 2
2 . 0 0 0
2 . 000
0 . .,0ou
19
- 0 . 0 2 9 2 3 1 ,82061 0 , 1 3 1 9 1
-0,13698 0.uZOlQ
- 0 . 1 4 9 4 6 0 , 0 4 5 5 i 0 .33391
- 0 , 06546 0 , IO031
-0.U2511 0 . 1 6 2 0 6 0, UbOQ6
-0,OI 630 - 0 . U O O O 3
- 0 . 1 3 4 ' 3 0 . 5 4 9 5 5
- 0 . 1 6 4 6 5 O,O206&
-0 .01 6 2 3 0 . 0 4 8 6 1
- 0 . ~ ~ 0 ~ 1 - 0 . 0 1 536
o , o b o z a
- 0 , on1 47
1 . 0 7 4 6 9 0 . 3 R 5 4 7 0 . m l e O,.tA46d 0 . U1111
-0.tJ7775 0 ,21373
-0.04283 - 0 . 0 2 7 O 3 - O . U l l ? d
0 . 7 4 4 7 9 0 . 0 f 7 7 r 6 d 0 . ~ 1 6 5 7 0.o432b 0.on527
a . ha527
- 0 . u n i o 7
0 .06163 0 , o I l l d 0 , 2 4 6 7 0
0 , 3 4 3 5 1 ) 0 . 3 0 3 O 5 0 . 9 0 5 2 8 0 . 0 2 3 q L 0.~020i
3
3u
39
9
.I
'J
5 49
2 . 0 0 0 0
2 . nono
O . nono
T A R L I ! 89
NO CALCULATIONS MADE FOR THIS CASE
88
PLANFORM 4 MODE S E T 5 H,1.0000 K,n.3
11
* O . 031 35 0.39999
nO.OO307 +O. 181 1 6
0.39869 0.52654
~ 0 . 1 7 7 2 4 0.11 406
2
99
15
3
15
24
745
1 .0000
0.3000
0.0000
T A B L E 9 1
P U A N F O R M 4 HODE S E T 5 M=1.0000 K s l . 0
11
-0.38560 0.62421
-10.0981 U -0.2015Y
0 . 5 2 6 6 2 0.57823
-0.19094 0.22033
99
15
3
15
24
747
1.0000
1.0000
0 .0000
T A B L E 9 3
TABLES 91, 92, 93, 94
P L A N F O R M 4 NODE S E T 5 M=1,0000 K.0.6
11
-0.13393 0.43566
-0.01921 - 0 . 2 0 5 8 U
0.41 61 7 0.56528
-0.191 84 0.14783
2
99
15
3
15
24
746
1 .oooo 0.6000
0 .0000
T A B L E 9 2
P L A N F O R M 4 M O D E S E T 5 M=1,0000 Ks2.0
11
~ 0 . 7 9 0 3 9 1.07324
-0.261 54 * O . 001 45
0.80473 0.25352
-0.05778 0.15928
2
99
15
3
15
24
748
1.0000
2.0000
0. ooou
T A B L E 9 4
89
TABLES 95, 96, 97, 98
P C A N F O R M 4 MODE S E T - 5 M=1,0500 Ks0.3
9 19
-0.042 -0.03619 0.437 0 . 3 9 1 0 0 ’ ~ ’
-0.01 0 -0.00832 -0.243 -0.21246
t
PLANFORM 4 MODE SET 5 M=1,0500 ~ ~ 0 . 0
9 19
0 -0.00000 0.457 0.40976
0 0.00000 -0.210 -0.18448
? 0.40976 ? 0.37392
? -0 . i 844a ? 0.06401
3 3
30 30
34 1 4
5 4 22
0 0
0 0
344 550
1.0500 1.0500
0.000u 0.0001
0.0000 0 .0000
TABLE 95
PUANFORM 4 MODE S E T 5 M=1,0500 KQ5.6
9 19
-0.165 -0.14834 0.576 0.50772
* 0 . 0 5 5 -0.04694 -0.214 -0.19292
0.521 0.46085 0.676 0.60839
~ 0 . 2 1 9 -0.19599 0.292 0.25225
3 3
30 30
34 1 4
5 4 22
0 0
0 0
350 552
1.0500 1.0503
0.6000 0.6000
0.0000 0.0000
TABLE 9 7
0.427 0.38270 0.793 0.61285
-0.241 -0.21035 0.246 0.20674
3 3
30 30
34 1 4
54 22
0 0
0 0
347 551
1.0500 1.0500
0.3000 0.3000
0 :0000 0.0000
T A B L E 96
P L A N F O R M 4 MODE S E T 5 M”1.0S00 ~ ’ 1 . 0
9 19
-0.370 -0.32951 0.800 0.71183
-0.140 -0.12176 e0.134 -0.12401
0.660 0.59026 0.532 0.47707
90.163 -0.14721 0.266 0.23538 8
3 3
30 30
34 1 4
54 22
0 0
0 0
353 553
1.050U 1.0500
1 .ooou 1 .0000
0.0000 0.0000
TABLE 9 8
90
TABLES 99, 100, 101, 102
PLANFORM 4 MODE S k T 5 M=1,2000 K = G . O
9 19
0 -0.00000 0.472 0 . 4 1 7 0 ~
0 -0.00000 m0.227 -0.20003
? U. 41 7’79 ? 0.5881 R
? -0.20003 ? 0.33299
3 3
3 0 30
3 4 22
26 1 7
0 0
0 0
349 555
1.2000 1.200G
0 .0000 0.0001
0.000u 0.0000
T A B L E 1 0 3
PkANFORH 4 MODE S E T 5 M=1,0500 ~ ‘ 2 . 0
9 19
-0.747 -0.67285 1.127 1.02181
90.262 -0.23629 -0.012 -0.00874
0.863 0.78631 0.249 0.22304
-0.063 -0.05464 0.163 0.14441
3 3
3 0 30
34 1 4
54 22
0 0
0 0
356 554
1.0500 1.0500
2.0000 2.0000
0. ooou 0 . 0000
T A B L E 99
P L A N F O R M 4 MODE S E T 5 M=1.2000 ~ ‘ 3 . 3
9 19
-0.037 -0.03349 0.517 0.45855
-0.026 -0.01735 ~ 0 . 2 3 2 -0.17811
0.497 0.44100 0.61 7 0.56257
-0.229 -0.18453 0.359 0.31483
3 3
30 30
34 22
26 1 7
0 0
0 0
348 556
1.2000 1.2000
0.3000 0.3000
o.coo0 0.0000
T A B L E 101
PLANFORM 4 MODE S E T 5 M”l.2000 ~ 8 0 . 6
9 19
-0.131 -0.12100 0.638 0.56633
- 0 . 0 6 5 -0.05753 -0.140 -0.12466
0.573 0.50878 0.524 0.48054
70.162 -0.144!4 0.301 0.26447
3 3
30 30
3 4 22
26 1 7
0 0
0 0
351 5 5 7
1.2000 1.2003
0.6000 0.6000
0.3000 0.000w
T A B L E 102
91
P L A N F O R M
9
-0.251 0.801
s o . l l l *O. 069
0.689 0.349
r o . 1 9 1 0.209
3 i 30 I I 34
~
I
4 MODE S E T 5 M=1,2000 ~ ~ 1 . 0
1 9
-0.23565 0.71 459
-0.. 09996 -0.06330
0.61484 0.32629
-0.09039 0.18537
3
30
22
I
I
26 1 7
0 0
0 0
354 558
1.2000 1.2000
1.3000 1 .oooo 0.0000 0.oor)o
T A B L E 103
P L A N F O R M 4 MODE S E T 5 M=2,0000 K':'.O
9 13
0 -0.00000 0.523 0.46935
0 -0.00000 -0.059 -0.04334
? 0.46934 ? 0.07095
? -0.04334 ? 0.07854
3 3
3 0
34
1 0
I
I
I 0 I
0
I 346
I
I
2.3000
0. 0000
0. 0000 I 1 T A B L E 105
30
30
9
0
0
560
2.0000
0.000:
0. 0000
TABLES 103, 104, 105, 106
P U A N F O R H 4 MODE S C T 5 M=1.2000 ~ ' 2 . 0
9 19
* O . 61 3 -0.5654; 1 .026 0.91465,
so. 226 -0.20030 0.056 0.00074
0.798 0.71525 0.197 0.18558
+0.048 -0.04398 0.140 0.12472
3 3
3F 30
3 4 22
26 1 7
0 . o
n 0
357 559
1.2000 1.2000
2.0000 2.000d
0.3000 0.0063
T A B L E 106
P L A N F O R M 4 MODE S E T 5 M=2,0000 Kn-t.3
0 19
*0.3?2 -0.00255 0.523 0.46980
rO.OO2 -0.00158 -0.056 -0.04263
0.522 0.46830 0.066 0.071'15
-10.057 -0.04332 0.090 0.0786'6
3 3
30 30
3 4 30
1 0 9
0 0
0 0
349 561
2.0000 2.0000
0.3000 0.3005
0.0000 0.0000
T A B L E 106
92
TABLES 107, 108, 109
P C A N F O R M 4 M O D E S E T 5 M=Z.0000 ~ ' 1 . 0
9 1 9
-0.363 -0.03707 0.700 0.48121
-0.217 -0.01932 0.052 -0.034F6
0.515 0.462'12 0.074 0.078q8
q O . 0 5 5 -0.04166 0.090 0.07860
3 3
30 30
34 30
P L A N F O R M 4 M O D E S i i T 5 M=Z.0000 K=-2.6
9 19
r 0 . 0 1 1 -0.01125 0.526 0.47212
-0.c107 -0.00654 - 0 . 0 5 3 -0.04034
0 .519 0.46567 0.069 0.07455
-0.056 -0.04305 0.071 0.07877
3 3
3F 30
34 30
10 9
0 0
0 0
352 562
2. ooou 2.0000
0.6000 0.6000
0.0000 0.0000
T A B L E 107
10 9
0 0
0 0
355 ,563
2. 0000 2.0000
1 . 0000 1 .0000
0.0000 0.0000
T A B L E 108
P k A N F O R H 4 MODE S E T 5 M=Z,0000 K'2.0
9 , 19
*0.206 -0.20085 0.632 0.55885
qO.090 -0.08111 sO.004 -0.00045
0.536 0.47874 0.072 0.07725
-0.037 -0.02680 0.081 0.07186
3 3
3 0 3 0
34 30
1 0 9
0 0
0 0
358 564
2.0000 2.0000
2.0000 2.0000
0.0000 0.0000
T A B L E 109
93
TABLES 110, 111, 112
P L A N F O R M 5 MOUE S I T 2 PLANFI IRM 5 MOOE S I T 2 " P L A N F i i R M 5 M O O E S E T 2
0
n 2.170 2.392 0 1 . o s 2
0 n.816
n
n 0.541
1.342
0 . 5 s s
n.Fl.50 0 0.310
n 0.562
n 0 . i o ?
1.017
0 0. OL9, n.ox i n n. 056
T ? T T ?
? T ? 9 9
' T ? T 9 ?
T 9 T ? ?
T T ? T ?
II
3n
3 4
56
0
0
31 ¶
1.1000
0 . ono0
0 . 0 0 0 0
T A R L e 110
W l . 1 0 0 0 Km0.O 0 M m l . l o 0 0 K.9.5
0.156 2.016 2.067 0. 027 0.857
0.072 n. 7 0 3 1.153 0 . 0 1 5 n.b27
n.n50 n. kW4 0 . 0.010 0 . 7 2 8
n . i m 0 . 5 1 3 0. 643 n.010 n.i:s7
n.oz? 0.056
n.049
n.373
0 . m
0
0
1.870
-0.Y6b
-n. JCO
0.663 n. 26.1
-n. 260 n . i u i
- 0 . 1 S S
n. L ~ L 0.140
-n.q44 n.isY
-0.222
n.467 n. 0 5 9
- n . i s c n.141
- n . i x 9
0.nZS n.025
-0.012 n. 00s
-n. 01 0.
3
30
34
'36
0
0
117
1 . 1 0 0 0
0.5000
0.u000
T A R L B ll?
0 vi, i ono ~=i. o
0.262 1.067 1.774 n . 0 5 4 0.620
0.119
1 . 0 ~ 1 0
0 . Z ' l b
6 . 7 5 0
n.o:v?
n.nSn n . m
n.019 n . i s n
n.420 n. 949 n . w z n.07q
0.621
0.131
-0,oo' l 0.0za n.050 n. 001 0. n:s6
n. qzn -6.125
n . 2 ~ 0 -n.?uo
0 . 9 7 2 0.332
-0.011 n . l s / l
-n.?sfb
n. 183 n . i a s
n . 1 ~ 2
t .A57
0 . 0 1 3
-0. 0 8 1
0 . 3 9 6 n.111
- n . o l i n . 1 2 ~
-0. mi
n.nz7
-n. 007
0 .022
0. no1 n.002
3n
3fb
56
0
0
321
1.1000
1 . 0 0 0 0
0.0000
T A R L e 112
94
TABLES 113, 114
1
30
36
56
0
0
325
1.1000
2.(.n00
0 . .. 009
T k 9 L E 1 1 3
D L A N F I ~ R M 5 N O U E S E T M.l.1000 Kr4.0
0
1
30
3 1
56
0
0
320
1. I 0 0 0
4 . ~ 0 0 0
0 . 0 0 0
T A R L e 1 1 4
P L A N F I I ~ M 5 tt03E S E T 2 W1.2500 l f m 0 . O
Q i
n 2.002 1 . B 3 S n 0 . 6 V Y
n
n n. 1231)
0.7514 1 . 0A'I
n 0 . Y O 0
0 0.2L!l
n 0.932 0.8545
n.iz-5
n. nL!i n. 06: )
0 . 046
n. 670
n
n
n
9
? ? ? 9
9
? ? 9 ?
P ? 9
? ?
9
? 9
? 7
9
? ? ? ?
10
0 1 .9510 1.8235 0 ?
0 0. ' 1545 1. U735 0 ?
0 0.5060 0.6770 0 1
0 0.5135 0.5805 0 ?
t t P t T
1 . 9 3 1 ~ 0.1583
-0,2220 0.3116 ?
0.7545
-0.1290 0.1902 ?
0.5060 0 . uL76
- 0 . ~ 6 0 7 0 . ' 1 3 5 7 t
0.5135 -0.0153 -0 . U664
0 . 1 3 8 2 ?
t t t ?
0.1217
10
0. noouo 1 .e361 5 9 .79Q66 I ) . noourJ 0.69819
1 ' . nooun 0 768U4 1 05S32 n. ooouo 0.38773
n nooco n. ~ 5 8 4 6 n . noouo
0.69675
0.23SOS
0 . O O O J O n. 49755 0.95621 n.no000 0.12709
a.-oooi)o n. 07744 lb.n55r0 0 . 0 0 0 3 0 0.04791
1 .os61 5
-0 .19900 0 . S o l 66
W O . 29253
n. I 8647
n. 7 4 8 0 s 0.16284
m i ) . 1 09 U7 0.18152
-0.18115
0. 49671 n . 06574
-17. n6375 @ . I 2 0 2 1
- 0 . I 3 8 4 0
0.49755
-0.O5520 0.13056
- 0 . no299
r n . I 0987
n . 02744 0.02265
I O . 0 0 5 4 4
20
0.0 1 .98607 1.96616 0.0 7
0;'O 0" 7 46 6 8 1 ': 09 5 I 6 0 ': 0 7
0:o 0': 5 0 8 89 0:'6869 1 0 ': 0 7
0;'o 0'.'51589 0;'59053 0:o 7
1 7 7 ? 7
1.98607 0 ' 3 5 3 1 8 0;'51959
7
0,74668 0.50788 0.32915 0.18901 ?
0': 5 0 8 89 0;'34349 0:21008 O*.'lS42S 7
o':si i n4
0;5i 519 0;' 29 5 2 6 0': 1 9 0 5 2 0:l S601 7
7 ? 7
22
0.0 1.08090
0 . 0 7
0.0 0.75111 1 . 0 6 m 0.0 ?
0 . 0 0 . 4 9 9 4 0 0.66006 0 . 3 T
0 . 0 0.91 414 0.56855 0.0 ?
? I ? t T
1 .@a990 0.91269 0.50231 0.11223 ?
0,75111 0.53150 0.31550 0.18613 ?
0.49940 0.S30OS 0.21992 n.72981 ?
0.51 11 4 0.28427 0.18151 0.13bJI ?
? ? ?
1 .12531
o.noJ32 7 ? T nn.OOS0J ? t
1 3
30 33
3 4 25
3q 25
n 0
0 0
31 4 632 1.2500 1.2500
0 . 0 0 0 ~ O . O O @ I
0 . 0 0 0 0 0 . 0 0 0 0
T A R L e 115
3
3n
26
26
n
0
56 9
1.25i iO
0 . O O U l
0. oouo
2
0
18
9
80
80
6S7
1.2500
0 . ocioo 0 . ouoo
1
33
1 5
1 5
0
0
697
1 . 2 5 0 0
0 .0000
0.0000
95
TABLES 115, 116
D L A N F I ~ R M 5 I4OOE SIT 2 M11.2500 KmO.5 Q
n.146 1 . 9 i l 1.745 0 .016 a. 6 5 4
n.7 i r )
n . r ) l r l 6 . 3 5 2
n. osz n. 670 n.635 0 . 0 0 7 n.307
0 . 0 7 5
1 . C ? 5
0 . Pa2 0 . d96
O . O O 7 0.106
a n.025 0.051 n n . 0 4 5
n. 276 - n . i 8 2
0.710 -n. 2x7
n, 661 n . m i
-0.091 0.187
n. ~ L S
-n. 051 0.131
n. 950
I. 027
- 0 . 5 6 4
0.1 00
"0.121
0. L67 n . 026
-n. n47 n.130
- 0 . 4 9 5
0 . ~ 2 5 - 0 . 1 0 9 q. 007
-6.903
n . n 2 3
I 6
0 . 1 4 4 3 I. a600 1 . 7 3 5 0 0 . 0 1 5 9 7
0.0773
1.0159 O . i J I o ? ?
0 . 7 0 6 ~
0 . 0 5 1 5 0.4729 0.0371 0.0073 ?
0 . 0 6 0 Z 0.2785 0. A 9 1 0.0671 ?
7 7 ? ? ?
1 .777s 0.2753
-0.1703 0.2903 ?
0.0563 0.18t)'
- O . O O l O O . f R l 5 ?
0.63YQ 0.0929
-0.0532 0.1795 1
0 . 4 5 0 0 0.0269
- 0 . 0 4 5 3 0.1328 ?
7 ? ? 7
o..oo61a i):'00662 0 . 2 1 0 4 7 ?
1 3
3n 35
3 d 25
39 25
,
,l 3
9 U
316 633
1.2500 I. 2500
U. 5300 0 . a 0 0 0
0.01)0(~ 0 . noao
T A R L P 1 1 6
Z
5 0
2 A
2 A
n
0
566
1.2500
0 . 5 0 0 0
0.0000
2
0
1 8
9
R O
ao
618
1.2500
0 . 5 0 6 0
0 . ouoo
96
P L A N F I J R M 9 lt00F: S a t 2 Hn1..2500 Kw1.0
9
n.102
0.045 n.5sa
n.683 n.010
n. z d 2
n . 1 0 7 0.456
1.R35 1 . s s 9
0.146
0 . 0 2 7
0.362 0 . ? 2 0 0.1>1
6.148 0.659 n.498 0 . 922 n. 966
-n. 005 0 . 3 2 0 n.01.6 n n . m
1.590 0 . 4 2 5
- 0 . 0 ~ 3 n.284
-0.186
n. 5 4 3 6.274
-0 . 001
- n . 1 2 8
n.it.8
n.121 -0. n7;
n.778 n . m o n. 000 n.129
0.q71
0 . 7 6 6
6.013
-0.073
0.022
0.001 0.026
n . 0 0 2 -n. 002
7
3 0
3 4
35
n
9
72:!
0. I 1 39 13.10251 0'. 10598 0.4472 11.44622 0,43603 0.5600 0.95286 0 ' . ' 5 ? ~ 0 8 0.01 99 0 . a1 674 o:'oi 763 ? (7 15595 ?
0 . 1 6 4 1 0.13539 0'.'14050 0.4411 0 03270 0*.'14803 0.4875 41.47203 0:'492s6 o.o?or, n . 0 1 ~ 7 3 o:'oi840 ? '1.06731 7
7 - 1 ) 00474 ? 7 0 .02886 ? ? n . 0 0 1 ~ 8 ? ? 0 .00091 7 7 0.04307 ?
0.5330 0.2611 0.Onl4 0.'1653 7
0 .3555 0.i41S 0.0121 0. .: 1 8 0 1
0 .3617 0.3783 0 . U057 0. :225 ?
0:'53850 0;'283;.1 0','01(160 0 : ' l s s a l ?
0 '.. 3 6 7 A 3 0,15353 0:'01896 0:'11809 ?
0;'36853 () ' io8463 0 '.* 0 0 5 5 6 OY121V9 ?
7 0.02250 ?
7 17.00090 ? 7 0 00236 ? 1 nn.00140 ?
? 0 . 0 2 6 7 1 7
3 3 2
33 :-i n 0
2 5 26 18
25 26 9
U 0 8 0
0 n 110
634 5 6 1 6 39
1.2500 1 - 2 5 0 0 < . 2500 1.2500
i .oooo 1 . nono I. 0000 i , 0 0 0 0
o.onoo 0.nooa J . O O U O 0 . 0 0 0 0
T r \ R L P 117
TABLES 117, 118
P L A N F ~ J R M 5 MOUE S I T 2 HII1.2500 Km2.0
9
0 . I Z O 1 .RS2 1.346
0 . 3 6 0
0.163 0 . 6 Q O
n. 070
n.810 n. 066 n.156
0.151 n. 44n
0.639
n . 2 5 8
n. L ~ A n.046
-0.021 0.035
n.001 a.034
1.428 n. ~ d i n . i s a n. 2 5 5
-n.ot,o
n. 472 n.291 n.114 n.152
-n.o4s
0.310
n. 087
-n. 027
0 . 2 9 0 n.113 n. 065 n.115
-n. 02s
n. 027
n.002 n.301
0 . q i > 1
0 . 0 6 3
0 . 0 2 6
0.002
0.041
0.165
0.109
0.622 0 . 0 0 6
T
3 0
3 4
39
@
0
?26
1 . 2 s o o
2.0000
0.0000
T A R L C 118
1 6 10
0.3008 0.29527
0 . ~ 6 5 ~ n.06120
1 . 7 6 4 2 1 .18755 1.3226 . w 9 6
? 0.37055
0.5629 9.15954 0.6600 0.6759 5 0.7896 0.?9589 o . u 4 l ? 0.03713 7 0.1 571 6
O . ; W n 14064 0.4270 0 .43449 0 . 4 9 4 0 0.49583 0.0324 0.02727 7 0 . n 6 s 5 5
0.242n 0 23823 0. bn20 0.39858
1 - 0 . no084
? m n . 02276 ? n. ns602 1 0.06279 ? 0 . 00098
0.432" 0.42S69 0.ULOO 0.03572
1 0.03626
1,3620 1.3892S 0.4806 0.48668 0.1632 0.16286 0.2407 0.23901 7 -0.0671 3
0 . 4 4 8 5 r j . 47053 0 . 2 ~ 2 0 n . 28901 0.1168 0.11917 0.1460 0.1456s 7 ao. 0 4 ~ 0 9
0 . 2 8 9 8 0.30043 0.1598 0 .16486 0. U662 0 . cl8898
1 mt?. 0291 S
0.2726 0.27933 0 . 5 1 0 3 0.11007
0.1080 0.10568
o . l n b i n . i o s ~ i
0.01567 0. nb669
? -0.02108
1 0.02790 7 0 . 0 2 ~ 4 t d . 00666 7 0.001 81 ? 0.00209
3 S
3 3 30
25 26
25 26
U 0
Q 0
635 56n
i .25no 1 . P Y O O
2.0000 2.00co
0.0000 0.0000
20
0 '.' 3 0 3 6 2 I ',: 8 3 00 6 1.3R6Al 0 'i 06 0 6 4 7
0 ',' 1 09 6 3 0" 677 2 2 0*:816V4 0;037th ?
0 ,*14488 0 ; ' 6 4 4 1 0 O : ' S O 9 S 6
?
0'.'24355 0,Ll I a1 0,: 4s 7 9 3 0;' 0 S6 29 ?
? ? ? 7 1
1:'40886 0:'3OY?h 0 ~ 1 6 1 7 2 0:'24498 ?
0 '.' 4 6 5 2 6 0 .'29882 0'.'12333 0;'14922 ?
0:30706 0';I 6830 0: '00099
?
0;'28137 0;'11393 0 '.' 0 6 I ) 0 k 0'.'10900 ?
1 ? ? ? ?
0': o 28 no
o':i 0600
2
0
q8
9
a0
80
6 4 0
1.2500
2 * O U O O
0 . OUOO
i
i I
I I
I I
I
t i I
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I
I
I
,
I
I
~
I
I ~
I i
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1
P i A I J F u R M 5 M O D E SLIT 2 Mn1.2SOO Km4.0
0
- n . n s i 1.018 1.734 n. nco 0.127
n.ooo n . 6 ~ 3 n. 7,is 0 . 0 4 s n . i k n
n . n t 6 0.452 n . i u 9 n.040 0 .070
n.706 n . u n n. 464 n.n73 n . o i i
-n. n46 0.047 n.037 n 0.053
n.475 n.251 n.?;8
t ,451
n . 0 0 0
0.464 n. 79n n.158 n. i 43
n. $87
n.112 n. i 00 o. no?
n.718 n.133 0.087 n . i o 2
- 0 . 002
n . r ) l n n . o o i
0 . 0 0 6
0 . 6 0 5
0.169
0 . 0 5 9
0.002
f
3 0
3c
35
0
n
730
1 6 '10 20 22
-0.3517 -s3.i6nao -0':18412 -0.18802 1.734: 1 . n 2 6 6 i i * : 8 ~ s s s i .a9010
o.ona2 a .n3324 0:02212 0.02032 1. I 6 1 6 1 . 2 0 3 O A 1 .'24005 1.23156
? ~1.32770 ? 7
-0.1270 -0.n1151 - 0 ' : 0 4 3 s 6 -n.n377a 0.5Pbz 0 . 7 3 9 8 0 . on92 ?
-0.0212 0.372' 0.4514 0.01 50 7
0.1985 0.3492 0 .4060 0. (J468 ?
? ? ? 7 1
1.3730
0.2654 0 . 4 8 8 6
0 . 6 5 4 7 2 1 ' . 75622 d . n2430 0.10006
S . 0 5 8 0 6
11 . 47000 0. 40820
n. n 2 3 9 4 0 .071 97
0.23020 i). 36043
$7. n5260 0.61 i 39
ac!. 06882 t i . 04395 0.175953 :?. o o n i 7 n . 63023
0 . 081 d l I ) . 2551 a
0 . 011 b2
1.39215
d .* 6 489 4 0:' 7 69 0 5 i) ,' 02 09 1 7
0': 0 5 6 4 3 0;'4121 I 0 ': 4 8 3 4 5 Oy02468 ?
0 .'23387 0 , ~ 6 x n 6 0'.'0212I 0 'i 0 5 1 3 7 ?
? ? ? ? ?
1 ': b o a I I O,SOl19 OY26216
0.66200
0 . n i 5 0 s 0.7721 8
?
0 . 0 4 0 0 0 n.01351 0. 17178 n.01690 ?
0 . 22659 0 . 3 7 6 1 3 0.42310 0 . 04735 ?
7 7 ? ? ?
1. bb999 n. 30282 0.27269
0 . 2 2 8 L 0.?2?21 0 . 2 3 2 1 6 6.24034 7 0 .01242 ? ?
0.4450 i l .46411 0','06069 0. 0821 0 0.2004 1).28946 O'i2Q72S 0.30211 0 . ' 1 6 8 3 0.16295 o*:i6960 0.17124 0 .1375 n.13814 0'.'141?1 0.1b391 1 n . n o 6 s o ? 7
0 . 2 7 4 8 n.28497 i)'..287S3 0 . 2 9 7 9 6 0.172; 0 .17190 0'.'17507 0.17132 0.1173 0 . ? 1 4 4 1 0;'11X3S 0.11029 0 . 0 9 6 6 . i .n9699 o':o9uro 6 .6YoS9 7 n . o o 3 ~ 2 ? 7
0.2174 3.21841 0,22332 0.23470 0 . 1 3 2 7 17.12968 i)'.'73418 0.13?45 o . ~ a i r , 0 . 0 8 7 0 5 o:'o020o 11.09217 o.uo73 0 . 0 9 5 6 5 O : ' O O U J ~ 0.10076 7 m n . n o i 3 i ? ?
1 0.01033 ? 7 ? 0 .01964 ? ? ? 0 .n0002 ? ? I n.00187 ? ? ? o . n o 6 ~ 6 ? ?
3 1 2 3
33 30 0 . S3
2 5 26 1 8 39
25 26 9 3 3
9 0 80 0
I) n a o 0
636 5 b Q 641 691
1 . 2 5 0 0 1.2500 1 . 2 ~ 0 1.2500 1':zson
4 . 0 0 0 0 e.00n0 4.0000 0 .00 '00 0'..0000
0 . 0 0 0 0 0 . 0 0 0 0 0 . 0 d C 0 o.ou00 0'.~0000
T H R L e 11U
91
TABLES 119, 120
PLAIJF I IRM 5 t.lOD5 F B T Z H.1.5621 KnU.0
0
n 1.6S2 1.191 n n . 350
n 0.650 n.7,3 n n . i y 3
n 0 . 1 3 7 ? . L o 7 n n. 089
n 0. L b l n . 6 1 ~ n n. 0;6
i l
O . O L 5 11.04s 0 n . 0 < 6
9
9 7 7 9
? 9
7 9 7
9
1
7
7 9
9
9 9
? I
1
9
7 7
7
1
3 3
3 4
2 7
n
n
315
22
O:o
1 ':i 78110 0,0 ?
U '.' 0 0.'62573 O.'723Sl 0 '.* 0 ?
0 ',' 0 0..41338 0 ',' 4 4 3 A9 i J , O ?
0,o
0': 3 7 2 n i 0 : 0
1 '.' 66 Z 2 2
o'.' 4 2 4 6 3
?
? ? ? ? ?
1': 6 6 2 2 2 0 '.' 3 89 4 0 0': 3 4 2 2 3 0 '.' 2 5 3 9 3 ?
0 .' 62 573 i)'..36166 0'.'21096
?
(1'; 41 338
0':i s s n i
0': 2 2 1 0 3 0 : 1 4 8 6 5
3 z 3
33 n 5 3
3 4 'iR LS
2 i 9 28
0 xn 0
d :: n 0
57d 6 4 2 h59
1 .f621 1.5621, 1.5620 1.5420
o . n o ? 0.0001 o . o o ~ n o .oono
0. q o q 0.0uci) 0.0~00 6.0000
T A R L F 120
98
P i Al l F : i R M
* 0.109 1.628 1 .1t;A 0.009 a. 34A
n.nAn n .g :q n .742 n . 906 0.11’2
n . 0 4 3
0.406 n.G‘J5 q.nhO
11.948 n . ~ 1 7 0 .397 n. O U 5 0 . 0 2 5
n
0 . ” 9 n 0. ” 3 6
n.416
a. 0 2 9
1.602 0.156 0.141 0 . 2 5 0
- n . n ~ n
fl. 602 0.127 n. ono 0.161
-n. 007
n . w a 0.058 0.062 0.4 I 7
-Q. 006
n. L O B n. 101 n. 061 0.12n
-0. wc
n.018
n. 002 n.#302
0 . ? i 4
0. 0 0 2
5 M O D E ? U T 2 Ma1.5621 K n U . 5
1 Y 2 0 ’
0.’;00;1 A.11364 1 ,SP3?lr 1 .A4447 1. 16206 1.23955 0.00750 1 1 . not130 0 . 5 5 0 3 5 ’ 0.07529 0.05995
0.71796 I’.734YO 0.00464 0 . 6 0 5 5 5 o.174ai 7
0.33790 n . n 4 3 u ~
O . U Q ~ L & n.00421
0 . ~ 4 3 7 0 l ~ . n 4 9 1 5 o . 3 o a ? i O . ~ 1 6 1 4
. 0 . 3 7 V 1! 47.39 5 U 1 0 . ~ 0 3 9 3 n.00153
o.uoon1 ? 0 . ~ 2 3 X ~ 7
0.03915 ? o.uoo!a 7 0.035”7 ?
1.57156 1 .618 iO 0.17563 ~1.10041 0.15445 0 . 1 3 8 1 4 0.24566 1 7 . 2 5 5 O I
0 . 6 0 3 9 9 0.60712
0.39665 I? . L1398 0.35201 0 . L6766
0 . ~ 9 1 L b ?
0.02654 ?
-0.007?6 ?
3
3 3
3 L
22
9
3
319
I. S621
LJ.5000
u . ono0
T A R L F 121
0.54937 0 . 1 3 4 8 8 0.0~035 O.iS0~9
0,387*’3 0. U6675
0. i051.5
-0 . U0636
0. u6anr
-0, ~ 0 5 5 7
3
3,)
34
2 ‘I
U
0
57;
1.5620
0 . SO00
o.0ooi)
2
n I n
0
an 36
6 4 3
I. 5620
0 .5000
U. 0000
TABLES 121, 122
P L A I J F I I R M 5 M O D E S B T 2 Ma1.5621 Kw1.0
0
n.319
0.057
n.47n 0.564 n .7;7 0.012 q.16a
0.122
n . n 1 7 n. 006
0.146 n . w 0 . 1 9 0 n . n l o n . o i i
n n.nL1 0.050
q.1755
1.42L n. 3 4 ~ 0.133 n.
-n . roo
n. L O O n . i r o a .nYo n.151.
-n .oo7
n. 1 5 5
n.nca n.111
-0 .009
n.n:o n. 0.,6 n.1 1 3
-n. o o c
n . o d i n . 0 1 9 n. 002 n. 002 n.002
1 .SL3 1.100
0.742
0 . 7 t 7 O . L > 5
D
O . O C 5
0. T J C
v
30
3 L
2 2
P
9
1127
.2 0
0.321 69 1 ,52749 1 . ?0928 n . 0 2 ~ 4 0 7
11 . 1 62 1 9 0.54988 0 . 7 3 2 6 a
0.31670 1).01906 0.17OR8 ?
0,10839 n . i l n 3 2 0.35961 0.371 47 0.43267 0.45421 0.01 1 8 k 0.01 148
0.13385 0.14526 0.39286 0.56382 0.369511 0.18999 0. i ) l 306 0 . @ 1 6 u l O,d25?1 ?
o . o R a O 1 ?
- 0 . o n 2 w ? 0.52400 ? 0.03733 1 O . U O 0 ~ 0 7 0.33529 ?
1,40360 1. ~ 2 1 9 2
0,2359i n.214422
0.26126 0.26548 0.14711 0.13515
-0.00645 ?
0,49498 0 . L 8 1 3 5 0.183Si; 0.19177
0 . ‘ 1 4 4 1 2 0.15019 O . ~ J A ~ I P n . n a i 9 8
-O.i)?603 ?
0.52268 0. 5 z n 2 i 0,09970 1). a9932 0.06757 0 .06452 O . I O l n 1 0 .10751
0.32426 11.32992 0 . ~ 4 3 0 a o.n i119 0 . ~ 6 2 ~ o . n s 9 1 ~
-0.005?3 9
0.10587 0.11175 mO.303Q1 ?
0 .d2071 ? 0.02036 ? 0 . ~ 0 2 8 8 7 0 .00181 ? 0 .00231 ?
3 2
3 0 n
34 i n
21 0
U an
0 a0
S?L 64L
99
P ~ A l 4 c i 1 R M 5 M O D E S E T 2 M*l .5621 Km2.0
TABLES 123, 124
P L A l r F U R M 5 1411UE S R T Z M11.5621 K m 4 . 0
1
I
I I
I
i
i , I
I
1 /.
I I
I 1
I
I
I
I
1 1 I
I I
9
n ..LEP 1 . 472 1 .968 n.o:ti o . 3 z n
n. 199 0 . 5 5 3 0.669 0.055 0.154
n.150
n. i .18 n.044 n. o m
0.327
0.052
-n .o16
6.032 n . o o i n. o:$s
0.3h5 0.162
-n. 0 0 4
0.177
n.102
- 0 . no4
0 . 2 4 1
0.077 0 . 0 9 1
- 0 . 0 0 1
n.225 17.092 0.061 n . i o i
-n. 00s
n.023 n . o i n n.005
n. 002
n. l b 3
0 . 7 4 6
0.369
0.621
0.032
1.143
0.221
0.238
0.135
0.135
0.001
3 30
3 4
2 2
n
0
3 2 7
1 Y
0.38259 1.41460 1.04157 0.061 33 0 .32171
0.1786h 0.531 6 3 0.63959
0.13717
0.13475 0.341@0 0.39358 0. U27?2 0 . 0 8 0 ? a 0.22608
0.34827 0.03727
-0.01773 0.931 1 S 0 . 0 3 2 0 5 O.UOO64 0.O3340
1.1729q 0,37407 0.171 31 0.21 350
0 . ~ 3 9 0 i
0.3n71 a
o . 0 2 1 8 ~
l=o.oni76
0.37848 0.23956 0.10857 0.12970
0.24k69 0.13740 0.081 1 6 0.09085
-0.O0307
0.221 72 0.99349 0.06531 0.09 480'
0.02363
0,00531 0,001 47
*-o. an304
-0.0031 o
0.019nr
0,00271
2 n
0.401 08 1 . 4637?
f l .06560 i . m u 2
7
0.17053 1). 5 3 7 0 4 0.65977 0.00433 7
0 14531 n . 35531 0.41 149 0.03479 ?
0.23273 0 . 31730 n.36SSO 0.04249 ?
? ? ? ? ?
1 . l a 7 2 5 0.3874Y 0.17565 0 .21966 ?
6 . sir374 0.24738 0.11 279 0.13406 ?
n. 24162 0.13939 0.08619 4.0955s ?
0.22S67
0 .06761 0.09915 ?
? 1 ? ? ?
0 2 09659
3 2
30 0
54 18
21 a
0 an
0 80
973 645
1.5621 1.5620 1.5620
2.0000 z.nooo 2.0000
0.0000 0 .0000 0 . 0 6 0 0
T A R L E 123,
P
n.188
n.109
n.074 n . 5 o n n. 6 4 9 n. 0 7 7 n.123
n. 381 n.413
n . 9 5 0
n. 232 n. 3 ~ 2 n. 765
n . n i T
-n . 0 2 a
n.032
n .029
0.'176
n . 1 ~ 9 n . a i n
n. 331 0.130
n. 004
n. 230 n.141 0.092 n. 085 0.002
0.184 n.110 n . 07n n . o w
-n. no1
n.nXh
n. 007 n. no1 n. 004
1 . 5 5 5 1 . 0 1 0
9.269
0.103
0 . 0 6 5
0 . 0 8 9
0.037
b
1.117
0 . 2 1 1
0 . 3 8 3
0.120
0 . 0 1 q
1
30
3 4
27
F
@
331
19 2 6
0.06501 11. n s y o n
0.06142 ;l.n6920
1.467Lb .I .67642 O.YS867 fl.997Y7
0.26973 ?
0.020'6 - 1 ' . 00Scil 0 . S 1 5 5 1 1 ) . 53026 o . m m 0.62036 O.O?89L 0,01792 0.12576 ?
0.05123 I \ . O O Z Y ~ 0.33275 0 .344119 0.37360 lI.394.14 0.02835 0.04223 0 . 0 6 0 h S ?
0 . i O l l i 3 .18876
0 . 3 3 0 9 3 0 . 3 0 8 0 5 0.057b3 0 . 0 6 6 ~ 7 O.iJ1375 ?
-0.0296P ? 0."34Qa ? O.d30?0 7
-0.u00a2 ? 0. U2921, 7
1 .16181 ? . 1 6 ? 5 0 0 . 3 R 4 9 0 0.40197
0.'10561 0.19983 0.011?1 ?
0.3AO.TO 0.37767 0.24165 3.21758 0.13597 p .11154
0 . m ~ 0.31525
0 . 2 2 0 9 6 0.22935
O . ' l l Y ~ 6 0.12053 0.0n51k ?
0 .236% 9.23846 0.14366 0.11552 0.006212 0.09044 a . ~ ~ 2 4 5 0. nab51 0.00222 ?
22
0 'i 0 3 49 8 1 .L6571 0,973Y6
? o ': o 5 a 5 6
0';01321,
(i ': 6 n a 38 0',.00123 ?
0'..05129 0'. 53637 0:*37717 i) '.' 0 3 5 3 8 ?
d,..18543 0 '.' 3 0 6 2 8 0 ',. 3 5 5 9 0 d '.' 0 6 9 7 2 ?
? ? ? ? 7
0': 5 2970
1 '; 1 81 0 2 Os,' 3 Q 7 6 6 0,22821 0 '.. 1 0 9 3 6 ?
0': 37Y 0 5 Q.'264Y4 0'. 1'3700 0'; 1 1 89 5 ?
O'i23476 tiq..14331 0 '.. 0 0 5 76 U'.' 0 8 1 ? 1 ?
d';l83?6 0'; 11 341 O'.~O741S d',' 0 I 2 9 5 ?
? ? ? ? ?
3 ? 3
30 n ss 34 i A 6 5
21 0 ? 8
J an 0
U i i n 0
574 6 46 660
1.5621 1 . 5 6 % 0 1 . 5 6 2 0 1 . 3 6 2 0
4 . 0 0 0 0 4.0000 4 . 0 0 0 0 4 . o o n o
o . ono0 0 . 0000 o . ono0 0 . 0 0 0 0 I T A R L F 1 2 4 I
9
n 1 . 3 6 4 11. 774
6 . 7 1 7
0 0 . 471 0 .LYO n 0 . 1 0 6
n
0.307 0
n. 304
0 . 0 5 3
0 . z e 3 n . 3 8 7 n 0 . 0 1 2
n n.019 n . o 3 u
n.n:6
n
A
?
1 ? ? 9
7
? ? ? ?
? ? ? 7 ?
? ? ?
? ?
? 9 P ? 9
1
3n
3 L
15
n
d
11 6
2 . nnou
0 . 0 0 0 0
0 . noou T A S L P 125
1 Y
0. snooo
0. ono00
1. L5553 0 * 78250
0 . 2 1 8 9 6
0 . 0 n 0 0 0 0 . 4 6 7 0 1 O . b 9 4 ? 0 r ) . onopo 0 .705nY
0.00003 0 .2Q9‘ *3 0 . 2 9 7 2 0 0.0.?090 0 . 0 5 3 7 1
0.00001) 0.L0591r 0.29021 0 . uooco 0 . 0 1 2 0 7
- 0 . o n o c o 0.01Y2i.i 0. U3873 0. unono 0.0261’1
1 , LOYLLT 0 . 1 3 2 4 0. L 0 4 6 b 0 . 1 q15O O . U ? 130
0 . 4 2 1 9 7 O.OQ917
0 . 3747’1 0 . r l 4 W
0 . 0 0 5 ~ 7
0 .25576 0 . U4358
0. d37QS 0. d@26S
0. L 4 4 3 P 0 . 3 1 767 0 . U71 23 0 . 0 4 6 1 1
0.01928 0.01 481
0. u79 1 I
- 0 . o n o n 3
0 . un351 o . u n i L o 0 .00296
5
3 d
40
I 7
0
0
5 7 5
2 . n w o 0. O O Q l
0. no00
TABLES 125, 126
D L A N P i I R M 5 MODE S E T 2 Mlr2.0000 K.O.5
0
a . 0 5 9
0.7d2 n. o o g
n.031
1 . 2 2 2
0 . 2 1 7
0 .657 0 . 4 9 6 0.003 6 .10s
0 . 0 2 2 n . 7 9 3 0. TOY n. 003 n.053
0 .022 n.776 n.z;s
0 . 0 1 2 0.003
0 0 .019 o.nLn n n.026
n . i s 5 n . i e o n.191 n. n o o
n . 4 5 2 n.110 0 .109 n . i , l o n ..005
n . 2 7 2 n.ns4 n . 0 7 ~ 6.083 n. 002
n. 272 n . 0 3 6 n.068 n. 081 n
n.019 n.013
n.oo2
1 . 2 1 7
0 . 0 0 1 0 .001
3
30
3 L
1‘:
n
n
3 2 4
19
0 . U5551 I * 22858 0 .78952 0. U0420
0 . IJ 29 36 0 . 4 5 2 5 0 0 . 4 7 7 ’ 9 0.00253 0 . 1 0 5 ? 0
0 . 0 1 9 4 h 0 . 2 8 9 5 1 0 , 2 0 9 ? 3
O.U53?2
0.O205O 0.276511 0 , 2 9 3 2 1 a . o o z l i 0 .012f l0
-o.;Joo17 0.J193t l 0.028.72 O . U O 0 ~ 0 0.O2570
I , L2439 0.17025 0 .21 100 0 . 1 9 6 0 2 0 .01 1 3 5
0 . 449.30 0 . ‘I 3 006 0 . 1 2 2 L 6 0 .11 876 0 . 0 0 5 5 0
0 . LR770 0.0712k O.OR82k
0 a 002Clcl
0 . 2 7 5 L 3 0 . 0 4 3 ? 1 0.07976 0 . U8697
- 0 . 3 0 0 0 2
0 . 0 1 8 9 7 0 , 0 1 4 9 1
0 . 2 1 868
0 . o n i 58
o.oei:a
o.on3r,9 o . o n i 7 3 0.0029i.3
J
30
4 3
17
U
0
976
: .ono0 2.0000
I). 5 0 0 0 0 . 5 0 0 0
o.onoc, o . o o o o
T A R L S 126
101
P L A N P o R M 5 MODE S i t 2 M12.0000 Ka1.0
0
0.198
6 . 7 ~ 7
6 . 2 1 6
n.105
6 . 9 0 2 n.n.45
! . l h 4
0.019
0.626
0 . 1 0 5
0 . 0 7 2 0. ?74 n . t i i n.o,io
n. 079 0 . 2 5 3
n . n l n n . n i 2
n n . o ~ o n . 0 2 7 n n, 026
0 . 1 9 0 n.178
n . o l o
n.140 0 . 1 ai
n.0
n.261 n . 0 7 7 n. 07s n. q ~ i n.002
0 . 2 4 4 n.048
n
n . o \ n
n.n;3 n.o.,i n . a :2
0 . 0 5 3
0 . 2 5 6
1 .I36
0.1i iQ
0. 6.,6
0.1 i s
0.00s 0.982
0 . 0 : 4
t
30
3 4
1 2
9
A
12L
19
0.18581, 1.164911
0.0153Y
O,OS6?1 0 . 4 1 9 2 7 0.50477 O.i)0920
0 . t30441
0.21 71a
0 .1051 i '
0.36352 0.26669 0.3n38a 0. on560 0.05277
O.O706(,
0.2599A 0.00785
-0.00136 0.319"11 0.02780
0.0256%
! . I 4 4 1 7 0 . 2 0 8 1 0 0.1981 d 0.10156 0.01 150
0.404L1 0.15131, 0 . 1 1 5 4 3 0. '1 1 5'7 1
0 . 2 5 4 0 1
o . i ) i i o a
0. o n o 1 s
0. m 5 w
0.25821 0. U 8 5 L l 0. U8354 0 . 3 7 9 4 1 0 . 0 0 2 7 1
0 . 2 4 8 0 3 0 . u 5 5 W 0. 1J74'77 O . U A 4 Q l
-0. i)ooni
O.ul83Y O.J15?0 0.00361 O.iJOl31 0 . iJ03n0
3
30
40
1'1
U
0
577
2.0000 2.n000
1 . 0 0 0 0 1. 00,'O
o. onoa n. o o n o T A R L E 1;?7
TABLES 127, 128
PLANFORM 5 MODE s i t 2 ~ 1 1 2 . 0 0 0 0 1ta2.0
0
0.404 1 . 0 8 3 n. ab6 0 . 0 5 9
n . 1 9 2 n . 3 9 ~
0 . 2 1 3
0. q.11 0.039 0 . 1 . 1 3
0.136 n. 2 5 3
n . 029 0 . 1 1 1
o.os1
0.1'tO
0 . 2 6 3
0 . 0 1 2
-0.3119~ 0 . 0 2 3
0 0 . 0 2 5
n . 22s n . 033
n . 023
0.056
0.174 o . n i n
n . i x a
n.ius n . o $ j s
0 . 1 9 4 n. i t16 n . 067 0.075 0 . 3 , ; 2
0 . i 7 n n.073 0 . m
0.2'11 0.156
0.3.16
O . 0 Y O
0 . 0 7 4 0
0 . 0 1 9 0 . 0 1 3 n . o,j3 6.001 O . O J 2
3
30
3L
1 s
0
0
3 2 8
19
0.35771 1.07499
0 . 0 4 3 6 8 0.21389
0 , an433
0.163sa
0.1029a
o . i o 9 n i
0.38025 0 . 6 9 6 6 6 0.02513
0.23738 0 . 2 0 8 5 3 0.01478 0. d 5 1 4 6
0.15551 0.21?41, 0.2654 0. 02366 0.91 151
-0.O1023 0 . 0 2 4 1 8 O.UZA87 0. 0002Y 0. U2522
0.96775
0.174°3 0 .'I 7 8 4 7 0.012?7
0.31 1 3 7 0.10476 0.10613 0.10765 0.30593
0.19741 0.1 1433 0, ~ 7 6 9 1
0.00205
0.18391 0 . 0 8 4 3 9 0.06520 0.07863
0.29031
0, m o a
0.00006
0.004311 o .on i16 0. un3o6
0.O1930 0.01470
3
30
40
1 7
U
U
578
2 . 0 0 0 0 2.0000
2.an00 2.nooo
0 . 0 0 0 0 0.0000
T A R L F 128
102
P L ~ N F I I R H 5 HODF S E T 2 H a 2 . 0 0 0 0 Km4.0
9
0 .252 1 . I 9 2
0 . 0 ~ 7 0 . 2 0 4
n. 0.10 LOS n, 4t,n n. 903 n . w q
n, 0.17
n.348
0 . '67
0.7VO 0 . 1 v 2
0 . 6 4 8
0.159 0.252 n . 2 5 8 o. 063 n . n I i
- 0 . 0 1 9 0 .028 0 . 0 2 4 0 0.OLb
11.925 0.287 0 . 1 6 7 0 . l S S 0.n12
0 . 1 \17 0 .182 0 . 1 (2 0 . b 2 0 . 0 . 1 6
0.169 0. I a n 0. n70 0 . 0 6 4 0.903
0 . 1 4 6 O . O n 4 0 . 0 5 4 11.062 n 0.027 n . o i o
n. o:, i 0 . 0 . 1 6
0 . 0 , , 3
3
30
36
1 3
0
0
332
19
0 . 'I I 0 25
0.733"6 0.052a3 3.2023a
o.unigi, 0.40021, 0 . 4 5 0 7 1 0. ~ 2 3 4 1 0 . ~ 0 0 2 9
0 . U1 682 0 . L L o a j 0.L673a 0. ~ 0 7 4 7 0. u477d
0.1211 2 0.225'2 0. 2 4 3 7 3 0 . u36h5 0. ~ 1 0 2 3
- 0 . UI 635 0 .3264d 0.~2309
- 0 . ~ 0 0 1 3 0 . U240L
0.Y346O 0 , 3 0 7 7 2 0.1888A O.i6Z"i 0.u13Qh
0 .31 1 5 0 0.19587 0 . 1162B 0 , 0 9 8 3 1
0 .1Q566 0.1 16"6 0.3835ii
0 , ~ 0 3 6 0
0 . 1 5 3 1 0 0 .09456
0. U 0 0 2 0
0 . u 2 7 w 0 . u l 1 7 7 0 .0063V 0 . 3 0 1 ? 9 U. ~ n 3 2 u
1. i 2370
0 . ~ 0 7 0 1
0 . 0680i
0 . 4 6 5 9 1 0.06~0a
3
30
4u
1 7
0
0
479
0 0 . 3 0 6
0 0 . 1 ~ 2
? ?
7 ?
3
30
3 4
56
6
0
359
1 . 1 0 0 0
0 . ooou
0 . 0 0 0 0
T A B L E 130
2.uooo 2.0000
4 . 0 0 0 0 4 . 0 0 0 0
0. 0000 0.00Od
T A R L B 129
,
103
TABLES 131, 132, 133, 134
P U A N F O R M 5 MODE S E T 5 M=1.1000 K n l . 0
9
P L A l l F O R M 5 MODE S E T 5 MS1.1000 KE3.5
9
0.006, 0.312
0 . 0 0 4 0.198
0. S O 1 0. i?08
0.144
3
30
3 4
56
0
0
363
0.189
1.1oou
0.500U
0. ooou
T A B L E 131
P L A N F O R M 5 M O D E S E T 5 M=1.1000 K S 2 . 0
9
0 . 0 4 0 0.360
0 . 0 3 4 0.232
0.277 0.179
0.173 0.123
3
30
3 4
56
0
0
371
1.1oou
2. ooou
0.0000
T A B L E 133
0.020 0.330
0.015 0.210
0 . 2 9 3 0.196
0.184 0.134
3
30
3 4
56
0
0
367
1 .IO00
1 . ooou 0. ooou
T A B L E 132
P U A N F O R M 5 MODE S E T 5 M=1,1000 K a 4 . 0
9
0 . 0 4 0 0.337
0.052 0.249
0.264 0.161
0.160 0.!10
3
3 0
3 4
56
0
0
375
1.1oou
4 . 0 0 0 0
0.3oou
T A B L E 134
104
I
TABLES 135, 136, 137, 138
PLiANFORM 5 MODE S E T 5 M=I.2500 KmG.5
0 19 20
0.009 0.00753 0.00714 0.312 0.29204 0.29736
0.007 0.00581 0.00576 0.199 0.18693 0.19142
P U A N F O R M 5 MODE SET 5 H=1,2500 KE,?t.O
9
0 0.307
0 0.105
? ?
? ?
3
3?
3 4
3 5
0
0
360
19
0.00000 0.2875b
0.00000 0.18370
0.28756 0.17460
0.18376 0.12178
3
3 0
26
26
0
0
580
20
0 .0 0.29275
0.0 0.18801
0.29275 0.21363
0.18801 0.15176
2
0
1 8
9
80
80
647
2 2
0 .0 0.29S13
0.0 0.18901
0.2Q513 0.27264
0.18501 0.14821
3
33
35
3 5
0
0
66 1
1.2500 1.2500 1.2500 1.2500
0.5OOU u.000; 0.0000 0 . 0 a 0 0
0.0000 0.9000 0.0000 0.0900
T A B L E 135
P C A N F O R l l 5 M O D E S E T 5 M=1.2500 Ksq.0
0 19 20
0.030 0.02433 0.02302 0.325 0.303'19 0.30878
0.@23 0.01805 0.01888 0.239 0.19488 0.19977
0.290 0.27325 0.27903 0.173 0.16707 0.17460
0.183 0.17302 0.17748 0.119 0.11557 0.12015
3 3 2
30 30 0
3 4 26 18
35 26 9
0 0 80
0 0 80
368 582 6 49
1.2500 1.2500 1.2500
1 . G O O 0 1 .0000 1 .ouoo
0.0000 0.001)3 0.0000
T ~ L E 137
0.3C2 0.28307 0.28845 0.180 0.17252 0.18031
0.191 0.78035 0.18471 0.124 0.11962 0.12506
3 3 2
3 0 30 0
3 4 . 26 18
35 26 9
e 0 80
0 0 80
164 581 648
1.2500 1.2500 1.2500
0 . 5 0 0 0 0.5000 0.5000
0.0000 ~ . @ O O O 0.0000
T A B L E 136
P L A N F O R M 5 MODE S E T
9 19
0 . 9 7 0 0.05694 0.352 0.32642
0.056 0.04603 0.228 0.2106r
0.267 0.25430 0.159 0.15435
0.165 0.15860 0.129 0.10638
3 3
30 30
3 4 26
35 26
0 0
n 0
372 583
1.2500 1.2500
2.2000 2 . 0 0 0 2
0.0000 u.oon3
T A B L E 133
5 M=1,2500 K e 2 . O
20
0.05384 0.33223
0.04663 0.21631
0.26053 0.16125
0.16285 0.1 1 U91
2
0
18
9
80
R O
650
1.2500
2.0000
0. o u o o
105
TABLES 139, 140, 141, 142
P U A N F O R M 5 MODE S E T 5 M=1.2500 K = G . O
0 19 20 22
0.097 0.06763 0.05601 0.05772 0.375 0 . 3 3 8 4 0 0.34036 0.34634
0.084 0.06225 0.06040 0.05527 0.243 0.2166'1 0.22057 0.21780
0.245 0.23430 0.23972 0.24734 0.145 0.14162 0.14759 0.14034
0.147 0.14202 0.14488 0.14713 0.099 0.09774 0.10141 0.10174
3 3 2 3
3 0 30 0 3 3
34 26 18 35
35 26 9 35
r! 0 80 0
! I ,
I 0 0 80 0
376 584 651 662
1.2500 1.2500 i .2500 1.2500
I 4.ZOOO 4.0000 4.0000 4.0300
0 . J O O ~ J 0.0000 0 . 0 0 0 0 0.0000
I T A B L E 15Y
P L A N F O R M 5 MODE S E T 5 M=1,5621 KaO.0
9 19 20 22
0 0.00000 0.0 0.0 0.281. 0.26632 0.27410 0.26920
0 0.00000 0.0 0 .0 0.181 0.16857 0.17602 0.16878
? 0.26632 0.27410 0.26020 ? 0.12582 0.17341 0.16755
? 0.16857 0.17602 0.16378 ? 0.08763 0.12389 0.11752
3 3 2 3
3 0 30 0 33
34 34 1 8 15
22 21 9 28
0 0 80 0
0 0 80 0
361 585 652 663
1.5621 1.5620 1.5620 1.5620
0.9000 0.000i 0.0000 0 . 0 a 0 0
0.0000 0.0000 0.0000 0.0300
T A B L E 14.0
P L A N F O R M 5 MODE S E T 5 M=1.5621 K.0.5
9 19 20
0.012 0.00942 0.00989 0.282 0.26728 0.27509
0.009 0.00685 0.00759 0.183 0.169'16 0.17677
0.275 0.26188 0.26939 0.126 0.12562 0.13164
0.177 0.16530 0.17240 0.088 0.08754 0.091 81
I
I
I
I I
3 3 2
I .s 0 30 0
I :3 4 3 4 18
2 2 21 9 I
I
1
I 0 0 80
0 0 80
305 586 653 ~
I \ .5621 1.5620 1.5620
0.5000 0.5000 0.5000
0.0000 0.0000 0.0000
T A B L E 141
P U A N F O R H 5 M O D E S E T 5 ?4%1,5621 KD1.0
9 19 20
0.041 0.03285 0.03442 0.286 0.26975 0.27800
0.031 0.02379 0.02639 0.185 0.17090 0.17900
0.261 0.25042 0.25722 0.125 0.12492 0.13084
0.166 0.15690 0.16308 0.089, 0.08702 ..0.09120
3 3 2
30 30 0
34 34 1 8
22 21 9
0 0 80
0 0 80
369 587 654
1.5621 1.5620. 1.5620
1 .ooou 1 . o o o o 1 . 0 0 0 0
0.0000 0.0000 0.0000
T A B L E 142
P U A N F O R M 5 MODE S E T 5 M=1,5621 K12.0
9 19 20
0.102 0.08166 0.08502 0.299 0.27774 0.2871 0
0.077 0.0586'1 0.06518 0.195 0,17608 0.18592
0.229 0.222'79 0.22814 0.122 0.12189 0.12733
0.141 0.13697 0.14097 0.086 0.08485 0.08854
3 3 2
30 3 0 0
34 3 4 1 8
22 21 9
0 0 80
0 0 80
373 588 655
1.5621 1.5620 1.5620
2. 0000 2.0000 2. 0000
0. do00 0 . 0 0 0 0 0 . 0 0 0 0
TABLE 143
P C A N F O R M 5 ,,ODE S E T 5 M = 2 . 0 0 0 0 K s 7 . 0
9 19
0 0.00000 0.2 '12 0.2132L
0 0 . 0 0 0 0 ~ ) 0.133 0.13177
? 0.16944 ? 0.07310
? 0.08893 ? 0.04522 - 3
30 30
34 40
15 1 7
0 0
0 0
362 590
2.3000 2.0003
0 . 0 0 0 0 0 . 0 0 ? 1
0.0000 0.0000
T A B L E 145
TABLES 143, 144, 145, 146
P u A N F O R M 5 MODE S E T 5 M-1,5621 K s 4 . 0
9 19 20 22
0.141 0.09716 0.09657 0.09?77 0.322 0.28200 0.29185 0.28555
0 .1Q4 0.06822 0.07644 0.06063 0.2;4 0.17700 0.19011 0.18130
0.199 0.19686 0.19998 0.19Q88 O.l ' i5 0.11683 0.12116 0.11853
0.119 0.11878 0.11973 0.11'90 0.081 0.08143 '3.08398 0.08518
3 3 2 3
30 30 0 33
34 34 1 8 45
22 21 9 28
0 0 80 0
d 0 80 0
377 5 89 6 56 a64
1.5621 1.5620 1.5620 1.5020
4.2000 4.00"u 4 . 0 0 0 0 &.0000
0.0000 0.0000 0 . 0 0 0 0 0.0~~00
T A B L E 144
P L A N F O R M 5 MODE S L T 5 M=2.0000 K'aC.5
9
0.0118 0.211
0.036 0.133
0.2.?9 0.086
0.130 O.Od1
3
30
34
15
0
0
366
2. $000
0. SO00
0. OOO'?
19
0.00657 0.21 256
0.00436 0.13119
0.21 0 5 5 0.0054!
0.12999 0.06693
3
30
40
1 7
0
0
59 1
2 . 0 0 0 0
0 . 5 0 0 0
0 . 0 0 0 0
T A B L E 146
107
TABLES 147, 148, 149, 150
P L A N F ~ I R M 5 MODE S E T 5 M r Z . 0 0 0 0 K.1.0
0 19
0 . 0 2 9 0.02378 0.211 0.21096
0 . 0 2 0 0.01564 0.133 0.12978
0.2'30 0.20322 0.088 0.09634
0.125 0.12483 0.062 0.06762
3 3
3@ 30
34 40
15 17
0 0
0 0
370 592
2.3000 2.0003
1. ?000 1.0000
O . O C I O 0 0.0000
T A B L E 147
P L A N F O R M 5 ,.,ODE S E T 5 M ~ ~ . O o O o K o 4 . O
9 19
0.1115 0.0738; 0.230 0.21005
0.07;' 0.05894 0.154 0.12452
0.154 0.16075 0.087 0.09774
0.091 0.09712 0.060 0.06892
3 3
30 30
34 40
15 17
0 0
0 0
378 59 4
2.0000 2.0005
4.0000 4.000*)
0.r)OOO 0.0003
T A B L E 149
P L A N F O R M 5 MODE S E T 5 H = Z , 0 0 0 0 Ko2.0
9 19
0.080 0.06452 0.215 0.20847
0.056 0.04103 0.135 0.12728
0.177 0.18271 0 . 0 9 0 0.09845
0.107 0.11086 0.063 0.06919
3 3
30 30
34 40
15 17
0 0
0 0
374 59 3
2.0000 2. oooi) 2.0000 2.0000
0.0oou 0.0000
T A B L E 148
D L 4 N F u R W 6 NODE S R t 2 M l f . 0 0 0 0 Kw0.0
NO CALCULATIONS MADE FOR THIS CASE
!
108
TABLES 151, 152, 153
P L A N F O R M 6 MOUE S81 2
11 Mal.0000 Km4.0
- 5 . 6 ~ ~ 8
n. 838s 1. Ab26
-> .SO85
-2.9121 0.7490 ?.3281
-1 .5779 ?
9
-2.1721
0.1786
?
-0.1733
- 4 . n n s
-4.6372 0.q916 0.7622
? -1 . 6 a t i
- n . i o o i -0.0420
n. 0227 -n.o962
?
L .9817 1.1579 1 .1532 1.2207 ?
1.9143 1 .3312 n . 9 1 ~ 1 n. 5078 9
1.2981 n. 7005 0.7815 n . 3 7 u ?
1.2928 n.3188 n. 4zo9 n.3811
n. 0644 n.0417 6.0458 n . 0 1 8 2
?
?
P L A N F O R M 0 HdDF SOT 2
11 M q l , 0000 K m O . 5
-n. v . 5 ~ 1.QY59 I r . 5386
-n. 0571
- n . b & i z -0. I 06s
?
3.0788 -0.11 88
?
-@. lV75
1 . 1 3 5 5 -0.0569
?
n. 4360
-0.0922
1 . ?S I6 - 0 . 0 3 6 5
?
n . ~ 5 6 2
-n.ooas
n.0513 -n. 0028
-0.0013
?
1 . 6 3 4 3 1 .5170
-1.2735 n.8891
-6.1136
?
1.6Q13 1.0101 O.bR27 ?
n. 4779 1 . ~ 4 7 0
n. 0906 1 . I 4 6 2
?
0.8921 0.9658
-n.32n6 n. 2859
n. 0031 n. Obno n. n 6 0 i n .oo iz
9
9
2
99
15
3
19
2 4
749
1.OOOO . 0. snoo
5.0000
T A B L E 151
P L A N F O R M 6 M O D E S E 1 2
11 Mal . 0000 Y m 1 . O
-0.7356 4. 66¶3 3.3514
-n. i 193 ?
-0.080s 0 . 7 5 9 9 2. A635
-n. 21 72 9
-6.1109 6 . 7 3 9 0 1.2927
-0.1311 ?
-n.2203 I . 0799 0.9964
-0.121 1 ?
-0 .0237 n.ooaa n. 0544
s. ~ 7 0 9
-6. 18og
n.9213
n. ~5
n. 7447
0.7067
-0.0077 ?
2.2297
0.8639 ?
2 . 2 6 4 3
0.2035 9
1.1258
0.1486 ?
0 . 9 5 7 5 0 . 6 ~ 1 9 0.1541 0.2860 ?
n. 0 1 s i 0 . 0 5 1 4
n. 0038 0 .0439
?
2
99
1 s
3
1s
24
750
1. o o o o
1.0000
0.0000
T A R L E 152
2
99
19
3
19
24
751
1 . o o o o 6.0000
0.0000
TARLI! 153
109
I I L A N F o R M 6 MODE S l T 2 M o l . 0 4 0 0 K m O . 0
0
n
n 0 .027
- n . o n n 0 . 7 1 3
n.114
n
0 n .980
0.431
n - n . o o ~
0. 04s
3.612 6.491
0
4.074
0
2.05s
0.618
. 9 3 8 n
0 . 0 8 2 0
? ? ? ? ?
* ? * ? ?
? ? ? ? 9
? 9 ? 9
?
9 ? ? ? ?
S
3 0
1 A
6 2
D
0
335
19
-0 . U0000 3.1 4’1 0 3 5 . 9 3 h 6 3
1 - 0 . unoao
-0 . 0ooflo ~ 0 . 7 7 9 1 i
- 0 , dnooo
o.oa345 I. a3860
3. 68875
?
- 0 . 0 0 0 ~ 0
- 0 . (10000
-0.OOOO6 0.70801 1.56277
-0 . uoono ?
-O.O0000 -0.0 0688 0.08695
1
3.141 06 6.66155
-7.19068 0,76861 I
-0,979 1 0
-2.i’4152
1
-0 . unooo
8.1,636P
- 0 , ’I 3226 ?
0.08362 1. 7801 8
-3.30038 -0.041‘4
?
0.768fl3 1.73161
-1,58236 0.2S088 1
-0.0068a 0.19198 0.11421
- 0 ,, 00285 ?
3
30
10
35
U
0
fi9 5
1 . 0 4 0 0 1.0400
o . m o o 0 . 0 0 0 1
0 . 0 0 0 0 o . o o o a T A R L E l s &
TABLES 154,155
P L A N F O R M 6 MODE S P T 2 H.l.0400 Km0.5
0 19
- 0 . 1 72 -0.22386
4.138 4.28591 -0.011 -u.ozzai
0.692
- n . a 6 -0.43z:o
-n.o96 -0.o8601
-n.210 - 0 . 2 1 1 0 ~
4.444 I. 16041
0.434 0.35291 1 . 2 5 5 3.11388
0 . 5 9 7 7
6.832 0.76453 1 .?90 9.72987
- 6 . 0 6 4 -0,05377 0 . 5 1 8 1
-n .osa -0.06023 1.205 1 , o o ~ i a I . ~ 2 5 1.70691
-0.032 -0.02663 0.376 o
-n. 01 3 -0.01250
0 . 0 9 5 0 . 0 9 ~ 0 . 0 1 1 0.01696
- 0 . 0 0 6 -0,00371, 0.036 1
s . 9 ~ 3.73994 t . 7 6 1 2.89913
-1.976 -1.84628 1.030 0.858611
-0.240 1
0.233 0.16253
-0.176 1
0 . 3 4 6 0 . 6 V O P 1 . 6 6 3 1.63196 0.235 0.16311, n .176 0.13718
1.100 o .9 i67a 0 . ~ 0 5 0 . 7 9 8 0 3
n . m 0.27910
n . o i o 0.01491
n . 0 6 2 0 . 0 ~ 7 9 ~ n.nos 0 . 0 0 3 ~ 1
-0.119. 1
-0.252 -0,2594O
-0.070 1
0.096 0.09527
0.016 ?
? 3
30 30
1 8 1 0
6 2 35
0 6
0 0
S36 59 6
1 - 0 4 0 0 1.0400
0 . 5 0 0 0 O.SOO0
o.onoo o.oooo T H R L E 155
110
TABLES 156, 157
9
-n. 503 L.935 S . 5 0 2
-0 .057 n. 600
- 0 . 8 3 3
- n . i 7 3 n. 529
-n.kos
-0.170 11.871
- n . i 3 s
-0.109
-n. 026 0 . 0 3 5 - n . 0 9 ~
-0 . 009 a. 042
1.036 2.831
1.111 I .612
1.311 1.188
0.S50
1.130 2.051
-0.218 0.082
-0.078
0.670
n.247 - 0 . 0 4 3
n.958 i .n95 n. 456 0 .215
2.102 0.129.
-0.018
4 . I 4 1 n. 667 n.168 n. 372
-6 .016
n . 033 n. 0 6 8 n.nLR n.nIo n.o’ Ia
19
-0.6101)l 4, 687’4 3.36573
-0. U9726 1
0 . 9 6 4 5 1 2 . 6 9 7 4 6
-0 .172ol 1
10.41 71P 1.05379 1.51911
-0.10761 I
-0.15583 1.10647 0.97619
- 0 . O 9 8 5 5 1
-0.0254L 0 , 0 3 4 9 7 0.08947
- 0 , 0 0 8 8 9 ?
3.91237
- 0 . 2 W 8 O.il8200 1
0.618fl3
0.09323 0.20401 ?
0.90056 1.06347 0.39518 0.18026 ?
0,96407
0.11 4 6 3 0.28623 9
0 .03181 0. U6503 0.03929 0. U0823 1
-0.8604a
2.013728
2 96287
0.59287
3 3
3 0 30
1 8 lii
t i 2 35
0 U
n 0
939 997
I. 0800 i . n 4 0 0
1. ooou 1. dono
u . 0 0 0 0 0 . 0 0 0 0
T A R L I 156
D L A N P I J R M 6 MODE S l T 2 M11.0400 K.4.0
19
- 2 . S L 6 8 5 8. a s o i I 2.35120
-1.70560 ?
-1 .8202Y
2.32687 -1 ,18907
?
n.91603
- 0 . 0 1 08s
6 . av 579
0.73066 1.97681
?
- 0 . 0 ’ / 9 3 4 n. 72026 n . 9 ~ 1 3 3 6
-1.2:QS9 ?
-n. o d o ~ -n.no696 . O . 07927
-0.08833 ’
?
s.00216 1 .10390 1 .A9326 1.17039 ?
1.52989 I . l o 6 2 4 0.75963
?
1 .36718
n. a n 9 5
n. 6 ~ i o a z 0 . 6 ~ 0 ~ 2 n. 36702 r 1.19691 0.6881 4 n.60513 n.9:5219
n. o m 2
0.05265 n. 027’19
?
O.OS281
?
3
30
10
3 3
0
0
w a 1.0000
4 . 0 0 0 0
0.0000
T A R L E 157
P L A N F O R M 6 M O D E S 6 T 2 Mnl.2000 K w O . 0
9
n 1 .1 $9 0.2/3 n 0.6 13
4 n . o > o J.S>t n 0.543
4 0 . 9 7 5 1 .o $ 5 4 4.494
n 1.078 1.350 n n. 3 4 3
n n.011 n . i o o n n.n-,i
7 ? V ? ?
7 P ? 9 9
7 1 9
? I
? I 9 7 7
V 9 9
1 ?
I
3 0
3L
a1
0
0
1 3 1
19
0.300~il 3 , 9 2 6 2 3 6 . 3 4 1 13 0. onooo 0 , sa359
-0. U 0 0 0 0 -0, d l 167
3.420l.1 o. ,moo0 0 . 5 2 0 7 7
5
3u
2 0
30
0
3
s99
1 . Lnoo I. 2000
o.onoo o.oooi '
0.0000 0 . 0 0 ~ 0
T A R L C 158
111
TABLES 158, 159
P L A N F t r R H 6 MODE S a t 2 M * 1 . 2 0 0 0 Y.O:l
0
n.011 5 . 8 1 1 T . S L 2 n. 040 0 . 3 Y O
- n . 2 / 8 n . 2 d i 2 . 8 1 3
-0.022 0. ¶32
- n . i o 2
-n .oqa n.183
- n . o l e 1 . o o o 1.111
- n . o L i n. 1.56
- n . n l o O.OL0 0 . 0 8 5
- 0 . 0 0 2 n . n j 3
I . 4,'O 1 .6Y7
4.RL7
0.716 1. 441
- 1 . 2 J 9
-0 .041
4 . 0 ~ 1
n . o v z
n. s d i
-0.293 0.05s
-n. 026
n.615 -n. ioR
n . 7 ~ 7 -n.bLo
0 . 0 1 6 n . n / a n. 0 ~ 2 n.oo2 n.4.,2
> . 4 l r l - 1 . o / o
- 0 . l l 5 2
1 . 1 5 5
6.0L4
1
30
3 4
51
n
0
?3?
19
-0,02277 3.67138 3 . ~ 3 2 b 0.33188 0.57226
-0. L831tl 0.20423
-0,021 57 0.51 013
-0 . ' l6427 0 . 6 8 2 4 1
- 0 . 0 1 818 0.45828
-0.u2229
2.7n26i
I . 3s6av
0 . 9 0 6 5 8 0 . 9 9 2 4 U
0.300n1
-0. U080li 0 . U1 856
- 0 . 0 1 8 0 0
o. "no30 -0. U01 26
0.J513a
3 . 3 5 0 6 1 1.73246
-1 :1953L( 0.74786
-0. U2981
0. d083i; 2 . 4 5 8 0 2 -I. 05066 0. ~ 7 6 4 5
- 0 . ~ 2 1 ~ 7
0 . 5 5 3 2 I 1 . S O 5 4 5
- 0 . 2 4 8 Q 1 0 . i)82?0
- 0 . 3 1 m
o.asaoi 0.573'+
-0. .I 0 50 1 0.252811
- 0 . i l 1 1 ~ 5
0. JI 45e 0 , U7376 0.3197tl o. uo21 i o, on3? e
3
30
2 0
30
0
0
600
i . 2 n o o 1.2000
o . 5 n o o o . m o
o . o n o o ' o .nooo
T A R L B 159
112
0
-n. 369
-n.1:57 n. st,n
-n.;lL2
- 6 . 1 9 5 n . 9 0 2
-0.350 n.os2
-n.137 0 . 4 5 5
- n . i 4 7
n . 3 ~ 9 - n . i s s
n . f i A
-n. 02s n.nL6 0. O i j l
- n . n i o n.049
1 . 6 1 0 0.175 n. ~ . i i
-0. O L ~
n . ~ 4 0 i . ? & a 0.1 I n n . 1 ~ 6
4 . 1 V l Z . 7 1 6
0.RjR 2 . 2 v 8
I .Zh6
1 . E ' i t
7.646
- 0 . 9 1 8
0 . 8 4 2 b . Q . ! 4
0.146 0.457
-n .n ;2
n .964 n. 5' ta n. 263 0 . 3 1 7
-n .o ;2
n .oa r
0 . 0 ..; 4
0 . 0 b l b . 046
- O . n I O
S
30
3 4
5 1
0
0
343
19
- 0 . 4 0 4 1 d 6. J7341 2 . 567T7
-0.13087 0.56364 ' '
-0. '10856 0.80163 2.21 070
-0.11580
-0.3397L 0.Y1061 1 . ;0235 - 0 . * I 2 1 cl 1 0.43323
- 0 . 'i 451 0 0 . 9 7 6 8 2
0 . 4 n 3 4
o. 5.2439 -0.1333a
0.29bRO
- 0 . J222S 3 . 0 2 3 5 1 0 . U 7 1 4 1
-o,ooe3! 0.047ai
3.54756 1.583211 0. S 56.35 0 . '1291 6
-0.U1677
0.50161( 1,'13d47 0 . OQYOU 0.1360d
0.8084l.i 0. d6320 0.43602 0.129.7k
- 0 . o n 9 2 7
- 0 . u n m
0.39536 0.52YhS 0 .23027 0.26630
- O . r ) 0 4 5 d
0 . U2267 0.35fi46 0 . ~ 4 1 1 7 0. ~ 1 0 3 1 1 0 . ~ 0 5 2 3
3
3u
20
33
U
J
601
1.2FOO 1.2000
1 .0000 1.001?0
0 . 0 0 0 0 0.000ii
T A R L C 160
TABLES 160, 161
P L A N F i l R M 6 MODE S I T 2 M11.2000 Km4.O
9
-1.426 6.256 2.313
-1.566 0.166
-1 * 4 3 9 , 0 . 8 ~ 3 2 . 2 3 5
-1 . l o 7 n. 129-
n. 6 4 8
-0. $58 n. ~ , o
9.720
-0 .713
I . 3 4 6
- 0 . 9 4 1
1 . 0 5 0 - 1 . 3 2 2
a 2 7 6
- 0 . n n n. o ~ i n. 067
-n. 060 n .os i
6 . 5 U O 1 . 1 5 6 1 .146 1.2F6
1 .391 1 . 1 3 5
a.sn7
0.. 041
n. 7 2 0
n . 043
n. 060.
n. 441 n. 046
.2Y6
0. 676
I . 233 D. S ' i 5 n.4z.s n. 4 6 2 8.021
n . o 5 u
0.353 n.036 n . o l i
n. 0 5 6
f
30
3 4
5 1
3
0
742
19
-I ,981 0 3 I . o w 3 1 2 .16186
-I. 5 3 4 2 1 0 .45926
-1.44726 0.72497 2.11743
-1.10O56 0 . 4 1 8 0 6
-0.70605 0.58758 1.25283
0 . 3 8 4 9 6
-0.89902 0.62201 0 . 9 3 2 4 1
-1.20477 O.LS710
- 0 . J6970 - 0 . dO24d
0. cl8106 -0.37936
0.u9010
I . 48071 I . d4843 1.113sO
0.01473
1 , 3 2 8 4 0 1.68830 0.681 56 0 .50616 0. u663I
1.22676 0.663"O 0.61537 3,39429 0 . 0 6 7 8 a
1.13960 0.57 O R ? 0.39720 0,50777 0.02551
0 . J 5 6 0 1 0 . ~ 1 5 3 7 8 0 . osi3a 0. ~ 3 0 0 0 0. U1 1 2 1
00. m a 0
1 I 8422
3
3u
2 J
5 0
J
U
602
1 . znoo 1 . 2 0 0 0
4.0000 6. nooo
0.0000 0.0001)
T H R L E 161
113
P L A N F O R M 6 MODI! S I T 2 Mm2.0000 K.U.0 0
n 2.716 1.541 0 0 .28Y
n n . ~ 3 3
n 6 .247
1 . 1 J O
0 0.567 n. 889 n 17.252
n n. 778
n 6.168
n n.011
n
0.566
0 . 0 6 2
0.036
? ? ? ? ?
? P 9 ? t
? ? ? 9 9
9
? ? ? ?
9 9 ? 5 ?
19
0.00000 2.62421 1.41101 1
- 0 . o o o o o 0.2131 ?6
0 . ~ 0 0 ~ 0 0 . 4 8 9 5 8 1 4tB050
- 0 . 0 0 0 ~ 0 0.26050
0. U 0 0 ~ 0
0.6467q -0.u00~0
0.21313
0 . 0 0 0 ~ ~ 0 0.70633 0.51229
- 0 . 0 0 0 ~ 0 0 . 1 5 7 2 5
0.5s46a
=O.OOOWJ 0 . 3 1 baa 0 . 0 5 9 8 3
-0 . 3 0 0 0 0 0 . 3 3 5 4 3
2.62621
0.7104Y
0 . ~ 2 4 1 6
0 . 4 0 9 5tr O.i'O22J 0.29871
0.02375
0. !i 3 46 1 0. +112& 0.31 606 0.O9905 0.O2361
0 , he1 6 1 1
0. 5178fta
0:14ia~1
o . " m 0.15991 0.34421 o. 23481 0.01 325
0.01402 0. o s a 3 i o. 02431 0.30178 0.005od
1
I '1 J
30 30 I I 34 30
I 20 17
0 0
n 0
335 605
~
2.0000 i ! .oooo 0.0000 0 . o o o i
0 .0000 0.0000
TARLF 162
1
TABLES 162, 163
P L A N F O R M 6 MOUE S E T 2 M.2.0000 Ks0.S
P
0.072 2.617
-0.015 1 . si18
0.283
n. 699
-0.020 n. 267
-n. 0 0 3
o. 887
n. 251
0.025 n. 730
-n. o z i n.16n
-n. 002
0 . 0 0 5
1 .S3?
0.56s
- 0 . 0 1 8
0 . 5 9 8
0.017 0.061
-0.005 11.036
n.198 n. 484 n. 629 n . 020
n. 482
n. 297 0.169
2.610
0..756
0 . 0 2 0
0.335 n. 4 ~ 9 ' n. 326 1-1.116 0 . 0 2 0
n.740 n . z o i n. 3.57 0 . 2 8 0 6.011
n.016 n.n40
n. 001
n.026 0.603
3
3 0
36
20
0
0
338
19
0.05999 2.53299 1.51857
- 0 . 0 1 37& 0.281b7
-0.00307 0.46181
-0.01853 0 . 2 6 0 2 3
-0.00676 0.51692
-0. 01730 0.26286
0.01719 0.66558 0.53698
-0.01956 0.13706
1.4a154
o.ak471
- 0 . 0 0 2 5 e 0.01508 0.05823
- 0 . ~ 0 2 5 8 0. 03508
2.52563 0. S I 32&
0.57410 o . m a s o. 0242a
0.44494 0.75181 0.27395 0.1 6258 0,02378
0. 505°1 0 . 4 6 8 ~ 5 0.30130 o. i n 1 81 0 . ~ 2 3 8 7
0.67411 0.14629 0.32051 0.23861 0.01 327
-0.01 450 0.06291 0 .00521 0 .00271 0.00508
3
30
30
1 7
3
J
604
2 .0000 2. no00
0 . 5 0 0 0 0 , 5 0 0 0
0 . 0 0 0 0 0 .0004
T A R L E 163
114
Q
n.092 7.4911 1.615
-0 .067 0.284
- n . i o o n . 3 0 5 I .491
-0.085 0 .266
-0. C87 n. 554 n.as2
-n. 0 7 8 0.251
n . 0 2 4 0.656 0.644
-0 . 1781
- n . n 1 2 n.021
- n . n ~ o
0.167
0.056
n . 6 3 6
?.426
O . S ? R n. 6 9 8
n. 6 2 6 n.020
n. a 4 5 0 . 2 6 0
n . o z i
a. 902 n . 9 0 8 0. yon 0.129 n . n 1 9
n . 2 ~ 7 n. 592 0 .29s n.011
n . a i n
n.007 0 . m
0 . 4 2 2
0.17’1
0 .671
0.040 fl. 0L6
19
0.05753 2.42336 1 ,53168
- 0 . ~ 7 0 1 7 0,28066
-0.11321
1 . 4 2 6 9 3 - 0 . O R l O J
0.25941
-0.09637
0.47387
- 0 , e7266 0.24209
0 . 0 0 9 3 L 0 . 6 0 1 2 6 0.57210
-0.07840 0.15060
-0 .01 286 0.01900 O.OS3h3
-0 ,0097 t 0.03494
2.35076 0 . 6 9 6 1 0 0.56337 0.5710i i 0.02434
0 . 3 9 4 4 7 0.82808 0,247371 0.1519k 0.02391
0.48220 0 . 4 9 5 5 6 0.28980 0.11 363 0.02362
0 . 6 1 w a 0.26820 0.L17538 0 . 2 5 2 3 3 0.01 356
0.01700 0 .0399 i 0.025611 o.on5c.6 O.OOS’i2
3 3
3r! 30
3 4 30
20 1 7
0 0
0 0
341 605
2.9400 z.noou
1 .OOOO 1 . o o o o 0 .oooo 0. OOQQ
T A R L E 164
TABLES 1’64, 165
P L 4 N F O R M 6 t1r)UE S O T Z Ha2.0000 Y a 4 . 0
C
-0 .177 2 . 7 8 5 1 .474
- 0 . L ’ I P 0.275
-n. 6’19 n. 7.57 I . 4 d 9
- n . ~ 9 6 Q.757
- 0 . 2 1 0 0.619 0 .861
-0.286 n.242
-n . 4.11 n . 7 1 6 n. 641
-n. 4a5
- 0 . 0 2 4
n.057
0 . 0 3 5
2. a ~ 2 n . 6 ~ 2 n.698
0 .16 t
0.031
-0.017
4 . 8 0 3 0.022
n. a s 8 n . 7 1 1 n. ~ 2 1 0 . 7 9 1 n.022
n.css 0 . 7 9 6
0 . 1 0 8 0.507 0.022
n.833 0.362 n. 267 n. 4 ~ 9 n . o i s
0.040
n.i)zb n . 9 0 5
0.054 ?.OS3
5
30
54
20
0
I7
’147
19
- 0 , 7 n o * ? o 2. >72@G 1.31186
-0.56276 9.26866
-0. > I 1 27 0. >9t)7s 1 .dR31d
-0.42UP2 0. 24753
-0. L4 537 0 . ~ 2 1 a e 0.75843
- 0 . 3 0 3 1 i 0 . L3041
-0.5 1 404, 0 . 0 0 1 4 1 ) 3 . 5 3 4 2 9
-0.50061 0.1 49 A 1
-0.02917 0.024@6 0 . 0 4 9 8 5
-0.01998 0.03321
0.082a5
2.73790 0.67852
0,7Ab83 0,02653
0.60641 0. b8377 0.41306 0.30837 0.026OO
0.75563 0.41306 0.19237 0.27370 0.025%
0 . 7 5 t P 3 0 . . i3UQU 0 .24614 0.6206U 0 . 0 1 468
I). 95827 0. G334L 0.631 86 0.u221s 0.30549
3
3 0
30
1’1
0
0
606
2 . 0 0 0 0 z.noou
4.0000 6.BOOO
U . 0 0 0 0 0 . O G O O
T A B L E 165
P C A N F O R H 6 MODE S E T 5 M+1,0000 K.o*J.O
NO CALCULATIONS MADE FOR THIS CASE
P L A N F O R M 6 MODE SET 5 MS1,0000 K S 3 . 5
11
-0 .11256 0 .371 20
S O . (r567S 90.1 31 5 1
0 . 4 n 5 3 l 0 . a4783
-0 .06432 0.43070
2
9 9
15
3
15
24
752
1 . 0000
0.5000
0. 0000
T A B L E 167
P U A N F O R M 6 MODE S E T 5 M=1,0000 Km4.0
11
-2 .75409 0.601 06
111.77'129 -0 .12191
I. 25308 0 .56105
0 .52822 0 .46342
2
9 0
15
3
15
24
754
1 . 0000
4 . 0 0 0 0
0 ,0000
T A B L E 169
115
TABLES 166, 167, 168, 169, 170
P L A N F O R M 0 MODE S E T 5 M=1.0000 Km1.0
11
-0. 47956 0 .39540
S O . 27989 + O . 1799T
0 .43707 0 .94013
mO.04646 0 .54093
2
9 9
15
3
15
24
753
1 . ooou
1 . 0 0 0 0
0 .0000
T A B L E 168
P c A N F U R M 6 NODE S E T 5 Ma1.0400 ~ ' 0 . 0
9 19
0 -0.00001) 0.487 0.39064
0 -0.00000 S O . 066 -0 .068g9
1 0 .39064 7 0.88687 '
? -0 .06899 ? 0 . 5 1 290
3 3
30 30
18 10
62 35
0 0
0 0
379 607
1 . 0 4 0 0 1 .0400
0.0000 0.0001
0 . 0 0 0 0 0.0000
T A B L E 170
116
1
TABLES 171, 172, 173, 174
P L A N F O R M 6 MODE S E T 5 ~ ‘ 1 , 0 4 0 0 K = : . O
9 1 9
m0.552 -0.43665 0.626 0.515’8
- 0.29 9 79 0.033 -0.061 00
0.678 0.54916
* 0 . 3 9 5
1.114 0.88786
0.046 0.0103; 0.595 0. 58684
3 3
3@ 30
l a 1 0
62 35
0 0
0 0
385 609
1.3600 1.0400
1.3000 1.0090
0. 0000 0.0000
T A B L E 172
P L A N F O R M 6 MODE SET 5 H’1.0400 ~ 0 0 . 5
9 19
r O . 138 -0.11 421 0.503 0.40259
G0.094 -0.06970 -0.069, -0.09739
0.524 0.42205 1.083 0.88162
eO.067 -0.06790 0.559 0.52368
3 3
30 30
1 8 1 0
6 2 35
0 0
0 0
382 608
1 .040U 1.0400
0 .5000 0.5000
0.0000 0.0000
T A B L E 171
P L A N F O R M ci MODE S E T 5 M=1,0400 K ’ 4 . 0
10
+1.95841 0.92880
*I. 28284 0.15231
1.25388 0.5421 3
0.52250 0.49076
3
30
I O
35
0
0
61 0
1.0400
4 . 3 0 0 0
0.0000
T A B L E 173
P L A N F O R M 6 MODE S C T 5 M=1,2000 K t 2 . O
0 19
0 -0.00000 0.410 0.35786
0 -0 . OdOOi, -0.139 -0.13578
? 0.35786 ? 1.12332
? -0. 13577 ? 0.82120
3 3
30 30
34 20
. 5 ? 30
0 0
0 0
380 61 1
1.2000 1.2001)
0 . ” 0 0 0 0 . O O O i
0. 0000 0.0000
T A B L E 174
117
TABLES 175, 176, 177, 178
P L A ~ F O R ~ 6 MODE S E T 5 ~ = 1 . 2 0 0 0 K D 1 . 0
9 19
hO.410 -0.39068 0.726 0.64582
-0.317 -0.29050 0.186 0.05896
0.724 0.64645 0.877 0.80901
0.120 0.09354 0.459 0.57860
3 3
3 0 30
34 20
5 1 30
0 0 .
0 0
387 61 3
1.2000 I. 2000
1. @ O O U 1.0000
0.3oou u.oor)o
P L A N F O R M 6 MODE S E T 5 ~ = 1 . 2 0 0 0 K X 0 . 5
9 19
-0.152 -0.14194 0.549 0.48271
a0.121 -0.10947 0.006 -0.04327
0.546 0.48224 1.079 0.98783
-0.020 -0.03005 0.655 0.70876
3 3
30 30
3 4 2 0
51 30
0 0
0 0
383 61 2
1.2000 1.2000
0.5000 0.5OOJ
0.0000 U. OOnd
ABL LE '175
-1.632 -1.59275 0.902 0.82711
*1.161 -1.09903 0.557 0.12833
1.343 1.23831 0.577 0.51765
0.594 0.53237 0.110 0.39671
3 3
30 30
34 20
51 30
0 0
0 0
388 61 4
1.200u 1.2000
4.0000 4.0000
0.0600 u.0000
T A B L E 177
T A B L E 176
P,.ANFoRM 6 M O D E S E T 5:~=2,0000 K - 3 . 0
9 19
0 -0.00000 0.563 0.50667
0 -0.000b?7 0.117 0.00445
? 0.50667 ? 0.41527
? 0 . 0 9 4 4 5 ? 0.34472
3 3
3 0 30
3 4 30
20 1 7
0 0
0 0
381 61 5
2.1:1000 2.0003
0.0000 0.00?1
0.000u 0.00ni)
T A B L E 178
0
-10.030 0.574
S O . 032 0 .137
0.569 0.438
0.127 0.225
3
39
34
20
0
0
384
2. ,?OOU
0 .5000
O . . ? O O U
19
-0.03117 0 .51765
-0.03117 0.10738
0.5130; 0. 41 205
0.10448 0.33953
3
30
30
1 7
0
0
61 6
2 . 0 0 0 ,
0. 5 0 0 % )
0 . 0 O n b
T A B L E 179
P L A N F O R M 6 M O D E S E T 5 ~ = 2 . 0 0 0 0 K=4.0
9 19
10.510 -0.59136 0.736 0.59307
aO. 4.39 -0 .431 34 0.358 0.16306
0.865 0 .79036 0 .361 0 . 3 3 0 0 9
0 . 3 9 3 0.34871 0.070 0.25611
3 3
30 30
34 30
20 1 7
0 0
0 0
389 61 8
2.3000 2.0003
4.0000 4.0000
o.ooou o.ooor1
9
-0.120 0.606
-0.122 0.197
0 . 5 9 5 0.428
0.159 0.233
3
3!?
34
20
0
0
386
19
-0.12382 0.54946
- 0 . 1 1 872 0.142!8
0.54010 0. 40040
U.13626 U. 32352
3
3 0
30
1 7
0
0
61 7
2.2000 2 .0000
1. I?OOU 1.0000
0.30ou 0.000s
T A B L E 180
I
T A B L E 181
119
TABLE 182
P L A N P O R M 2 MODE S e t 1 H-6.7806 K.0.5
I I 1 18 18 18 18
*0 .1110 -0.15860 -0 .1622 -0 .1704 -0 .1622 -0 .1622 2.599 2 .55321 2 .5531 2.5529 2.5531 2.5531 1 . 1 3 0 7 1 .1392 1 ,1124 1 .1402 1.1292
~ 0 . 1 0 3 4 -0 .11778 -0.117'9 - 0 , 1 1 7 7 -0 .1179 -0.1179 0.6869 0.62597 0 . 6 3 0 4 0 .5846 0,6304 0 .6304 0 .8187 1 0.8455 0 ,8216 0.8467 0 ,8332
*:001453 -0.00606 1 .004818 7 -0 .00482 -0.00482 0 .007056 0.00674 0.005688 ? 0 .005688 0.005688
0.02947 1 0.033'76 7 0 ,03389 0.03460
2.558 2.51834 2.520,b 2.5198 2.5204 2.5204
-0.1073 7 -0 .1040 -0 ,09240 -0 .1040 -0 .0890 2.671 2 . 6 8 6 3 1 2.71111 2.7302 2.7110 2.7110
0.7318 0.68290 '0 .6869 1 .578 1 .59252 1 . 5 9 6 3
0 . 0 1 060 0.01 155 0.0092ri0 0.01197 0.05379 0 .04274 0 .01 78!i 7 O.OlO!i2
0 .09723 1 0.1261;
5 2 2
0 0 7a
16 15 15
I 1 3 J
0 15 1 5
0 24 0
209 499 76
0 .7806 0.7806 0.7806
0.5000 O.SOO0 0 . 5 0 0 0
0.0000 0.0000 0 .0000
T A B L E I 8 2
0.6428 0.6869 0.6869 1.5821 1.5963 1 .5963 0.1207 0.1288 0.1131
7 0 ,009240 0.009240 7 0 .04274 0.04274 7 0 .01143 0.01079
2 2 2
38 68 8 1
1 5 15 15
3 3 3
15 15 15
0 0 0
8 3 670 671
0 .7806 0 .7806 0.87806
0 .5000 0.5000 0 .5000
0 .0000 0 . 0 0 0 0 0 .0000
120
TABLES 183 1 P L A N F O R M 2 MODE S E T 3 Ma0.7806 Kn0.5
1 1 1 1 8 I 8 I 8 i a -0.1410 -0.15860 -0.1622 -0,1704 -0.1622 -0.1622
2.599 2.55324 2.5531 2.5529 2.5531 2.5531 0,2134 ? 0.1922 0.1864 0,1922 0.1918
-0.1034 -0.1177a -0.1179 -0,1177 -0.1179 -0.1179 0.6869 0.62597 0.6304 0.5846 0.6304 0.6304 0.2072 1 0.1877 0,1816 0.1379 0.1844
-.000419 -0.00059 -.000402 ? -0,00040 - 0 , 0 0 0 4 0 .0005347 O . O r ) O O 7 -.000038 ? -0,00004 - 0 . 0 0 0 0 4 0.003363 1 0.003722 1 0.00373 0.005778
2.558 2.51834 2.5204 2,5198 2.5204 2.5204 2.671 2.68434 2.7110 2.7302 2.7110 2.7110
-0.02728 7 -0.0286 -0,02540 -0.0288 -0.0262
0.7348 0,68290 0.6869 0.6428 0.6869 0.6869 1.578 I .59252 I .5963 I ,5821 7.5963 1.5963
0.009872 ? 0 .0107 0.009923 0.0107 0.0128
.0009719 0.00070 0 . 0 0 0 3 9 Q 7 0.000399 0.000399 0.004004 0 . 0 0 4 9 0 0.003234 ? 01003234 0.003234 0.001764 1 0.001075 7 0.001 205 0.001 149
5 2 2 2 2 2
0 0 7 8 38 68 88
1 6 1 5 15 15 15 1 5
1 1 3 3 3 3 3
0 15 15 15 15 15
0 24 0 0 0 0
21 1 500 7 7 8 4 674 675
0.7806 0.7806 0.7806 0.7806 0.7~306 0.7806
0.5000 0.5003 0.5000 0.5000 0.5000 0.,5000
0.0000 0.0000 0 .0000 0 .0000 0.0000 0.~0000
T A B L E 1 8 3
121
TABLE 184
P L A N P O R H 2 MODE S @ T r; Hn0.7806 K n O . 5
1 11 1 8 1 8 1' 8 1 8
-0,1410 -0.15860 -0.1622 -0.1704 -0.1622 -0.1622 2.599 2.55324 2.5531 2.9529 2.9531 2.5931 1.812 ? i .a368 i ,8044 I ,8396 1.8258
-0.1034 -0.11778 -0.1179 -0.1177 -0.1179 -0.1179 0.6869 0.62597 0.6304 0.5846 0.6304 0.6304
n.009572 -0.01268 0.01042 7 0.01042 0.01042
0.06655 1 0.07758 7 0.07799 0,07995
2.558 2.51834 2.5204 2.5198 2;9204 2.5204
-0.d7377 1 - 0 , 0 5 4 6 -0,04220 -0.0548 -0.0286
1.193 ? 1 .1843 I. 1 584 1. I 878 I, 1756
0,01559 0.01814 0.01587 7 o . o i s a 7 0.01587
2.1571 2.68434 2 .7110 2,7302 2.7110 2.7110
0;7348 0.68290 1.578 1.59232 0.2047 ?
0.02204 0.02603 0.08888 0.11402 0.01567 1
5 2
0 0
1 6 15
11 3
0 15
0 24
21 2 501
0.7'806 0.7806
O.!;OOO 0.5000
0.0000 0.0000
T A B L E 184
0 ., 6869 1 .5963 0.2433
0.02164 0.09362 0.02593
2
7a
15
3
1 5
0
71;
0.7806
0.5000
0.0000
0 . 6 4 2 a 1.5821 0.2397
7 7 1
2 .
38
1 5
3
15
0
82
0.7806
0.5000
0.3000
0.6869 I, 5963 0.2193
0.02164 0.09362 0.02796
2
68
15
3
I S
0
668
0.7806
0.5000
0.0000
0.6869 1,5963 0.2925
0.02164 0.09362 0.02685
2
84
15
3
15
0
669
0 ..7806
0..5000
0.~0000
122
0.8
-0.28
-0.23
-0.1 1
0.06
0.23
0.36
0.44
0.65
4.35
4.25
3.95
3.47
2.88
2.21
1.49
0.74
0
0.195
0.383
0.556
0.707
0.83 1
0.924
0.98 1
0
0.195
0.383
0.556
0.707
0.83 1
0.924
0.98 1
0.9
-0.43
-0.39
-0.28
-0.12
0.04
0.17
0.27
0.54
3.24
3.16
2.94
2.58
2.14
1.64
1.10
0.52
-0.98 -0.8
7.76
7.70
7.54
7.29
6.99
6.69
6.49
6.93
-3.12
-3.09
-3.01
-2.88
-2.75
-2.63
-2.58
-2.83
13.64
13.91
14.68
15.85
17.24
18.69
2 1.06
31.06
-0.6
7.12
7.01
6.69
6.20
5.62
5.01
4.37
3.18
0.84
0.81
0.71
0.53
0.28
-0.06
-0.41
-0.53
-22.74
-22.42
-21.51
-20.07
-18.21
- 16.07
- 14.34
-16.09
-0.90
8.5 1
8.53
8.59
8.68
8.80
8.92
9.33
11.95
-7.59
-7.49
-7.2 1
-6.77
-6.22
-5.62
-5.16
-5.7 1
TABLE 185
Pressure Distribution on Elliptic Wing
Load distribution = pVz(Z' + ikZ")eiwt.
Values for M = 0.8 , k = 1.0
-
-0.4
6.3 1
6.20
5.86
5.34
4.72
4.07
3.3 1
1.63
3.01
2.94
2.72
2.37
1.88
1.29
0.69
0.50
-
-
-0.2
5.27
5.17
4.88
4.44
3.89
3.3 1
2.59
0.90
4.42
4.32
4.02
3.54
2.90
2.13
1.36
1.03
-
-
-
0
4.08
4.0 1
3.80
3.48
3.07
2.62
2.03
0.59
5.33
5.21
4.85
4.28
3.54
2.66
1.77
1.28 -
0.2
2.82
2.78
2.67
2.50
2.26
1.97
1.55
0.52
5.82
5.69
5.30
4.68
3.88
2.95
2.00
1.33
-
0.4
- 1.59
1.59
1.58
1.55
1.49
1.37
1.14
0.58
5.9 1
5.77
5.37
4.74
3.93
3.00
2.04
1.25
0.6
0.50
0.53
0.60
0:7 1
0.79
0.82
0.78
0.66
5.50
5.37
4.99
4.40
3.65
2.80
1.90
1.05
21'
21"
123
File Number
1 2 -. 3 4 -- 23
24 -- 29 30 -- 49 50 -- 55
56 57
58 -- 64 65 .- 67 68 .- 69 70 .- 84 85 - 117
118 119 120 121 122 123
124 - 125 126- 191 192 - 216 217 - 297 298 - 389 390 - 465 466 - 618 619 - 636 637 - 664 665 - 675 676 - 691 692 - 698 699 - 709 710 - 719
720 721 - 728 729 - 732 733 - 754 755 - 994 995 - 998 -
TABLE 186
Cross References of File Numbers and Source References
Source Reference
12 11 13 I S 13 15 12
1 3 8 9
16 13 20 22 20 22 20 22 20 2 4 5 6 7
10 14( 24) 17 16 21 19 23 18 3
Unpublished additions to 10 Not used
10 Not used
Unpublished additions to 23
Source Reference
1 2 3
4 5 6 7 8 9
10
11 12 13
14( 24) 15
16
17 18 19 20
21 22 23 24
File Number
57 126 - 191 58 - 64
720 192 - 216 217 - 297 298 - 389 390 - 465
65,67 68 - 69
466 - 618 733 - 754
2 - 3 1,56 .
4 - 23 30 - 49 85 - 117
619 - 636 24 - 29 50 - 55 70 - 84
665 - 675 637 - 664 710 - 719 692 - 698
118, 120, 122 124 - 125 676 - 691
119, 121, 123
see 14 699 - 709
124
Y
Fig. 1 Ciicular and elliptic planform (Planform No. 1)
E x t e n t OF Flops
rlop I 0 .25 d I $ 1 f I 2 0 . 5 $ l y l d l
3 0.75, ' I y l ' l + Full.spon
I
I t
~.
Fig.2 A = 2 tapered swept-back wing (Planform No.2)
Fig.3 ' A = 1.45 tapered swept-back wing (Planform Nos.3 & 6 ) '
I I X
Fig.4 A = 2 rectangular wing (Planform No.4)
125
Fig.5
I I
A = 4 arrowhead wing (Planform No.5)
I 1.0
I 0
Fig.7 A.reas relative to area #of Mach line rhombus which just encloses planfolim for Planform 5
Wing
Fig.6 Areas relative to area of Mach line rhombus which just encloses planform for Planform 4
0
Fig.8 Areas relative to area of Mach line rhombus which just encloses planform for Planform. 6
126
0 Albano ( c 4 , M I ) mxn P 18 x 8 0 Rowe ( C Z , ~3 ) mxn P 1 2 x 4 0 Laschko ( CIO, M I I ) m x n = I S X 3 p Zwoon ( c l , M I I ) m x n = 1 5 x 3 x woodcock ( c l 3 , MI^) mxn = 8 x 8 + K h m e r ( c IS, M 15 ) lnstontoneous port A Pollock ( c l 4 , M I3 ) m x n P 10x3
Circular wing M= 0 3-0(r
1.0
4 2
Fig.9 In-phase lift due to pitch. Planform 1. M = 0 Fig.10 Out-of-phase lift due to pitch. Planform 1. M = 0
A.2 Winp M=0'92?
0 ' 5 1.0
Fig. 1 1 In-phase lift due to pitch. Planform 2. M = 0.927
0 Loschka ( clo , M I I ) m x n D I S X 3
A baniell; ( C S , M 8 ) v Rawe ( c a , M 3 ) mxn - 1 2 x 4 a Zwqon ( c i , M 1 1 ) m x n = I S x 3 x woodcock ( C I J , M 14) m x n = 8 x 8
0 Albono ( c 4 , M I ) m x n = 1 8 x 6
0.9
4 1.0
Fig. 12 Out-of-phase lift due to pitch. Planform 2. M = 0.927
127
A=1.45 Wing W O 4 5
Fig.13 In-phase lift due to pitch. Planform 3. M = 0.95
Fig15 In-phase lift due to pitch. Planform 6. M = 1.04
Lasshko ( C I O , M II ) m x n = 15 x 3 A Daniclli ( cs, M a ) v Rowe ( C L . M O ) m n n = 1 2 x 4 0 Zwaon ( c 7 , M 1 1 ) mxn = 15x3
2 P 3 4
Fig.14 Out-of-phase lift due to pitch. Planform 3. M = 0.95
6
5
Q Losehho (CIO. MIS) x Cuiroud-Vallkr (C6, M 9 ) 4
Q;P
3
2
I 0 I 3 4 ' a
Fig.16 Out-of-phase lift due to pitch. Planform 6 . M = 1.04
128
, A = 2 R e c t a n g u l a r wing
4. I
\ I
callacotion m t h o d s X DovIaI (C3,M4) 0 Laschkn (CIO,MIij
Anolytiool mothods
Q:r I il I I I x Davies (ca,M4) o Laschka (C IO, U 1 1 )
Anolytical methods 0 Blob (Ca. Nl)
3.4
Fig. 17 In-phase lift due to pitch. Planform 4. M = 1
Fig. 19 In-phase lift due to pitch. Planform 4. M = 1.05
Fig. 18 Out-of-phase lift due to pitch. Planform 4. M = 1
-0.1 Box inbegrotion mrlhods
0 LoSChko(CI0. M l 9 ) x Cuiroud -Voll&o ( t6 , H9)
-0.2
Box collasotion mothods Q Allan (C9, MIO)
Anolyb i ro l mrbhods -0.3
-0.4
-0.5
-0.6
0 .5 1'5 -0.1
2
Fig.20 Out-of-phase lift due to pitch. Planform 4. M = 1.05
129
A 0.953 0 0.913
Fig.21 In-phase lift due to pitch. Planform 5. M = 1.25
Fig.23 In-phase lift due to pitch. Planform 1. k = 1.0
bllocotion . methods A 0' Cannel( (cn, M eo)
0 1 3 4 2 *
Fig.22 Out-of-phase lift due to pitch. Planform 5. M = 1.25
Fig.24 Out-of-phase lift due to pitch. Planform 1 . k = 1.0
130
0 Larchko (CI0,MiI) mrn-15x3 A Doniolli (C 5,MB) mxn.14~3
V R o w (CZ,M3) mxn=lZr4 Zwoon (C7,Mll) m x n - 1 5 ~ 3
X W0odcocM (CIS,M14) m x n = 8 x 8
Fig.25 In-phase lift due to pitch. Planform 2. k = 1.0
Subsonic V R o w ( c P , M 3 ) mwn D 1 2 x 4
A Donielli (cs, ~8 ) mxn = 14x3
supersonic - Box integrat ion methods
X $uiraud%Ilk (c6, M 9 ) o Loschka ( CIO, M19)
Fig.27 In-phase lift due t o pitch. Planform 3 (6). k = 1.0
0 O S
m
Fig.26 Out-of-phase lift due to pitch. Planform 2. k = 1.0
Subaon'k v uowe ( c e . m ) m r n 1 2 x 4
0 Loschho ( C l 0 . M l l ) m - n 1 5 x 3
0 Zwoon ( C 7 . M l l ) m r n 15.3 A Don;elli ( C 5 , M e ) m x n 1 9 x 3
0 Losehho (CIO,H19)
x Guiraud-Vol l io ( C e US)
sup or son^ - Box integration mrtkods
Fig.28 Out-of-phase lift due to pitch. Planform 3 (6 ) . k = 1.0
1 3 1
Box-intagnrtlon methods 0 Laschlca @IO, HI%) Y Guiravd - Vall& ( C 6 , H 9)
Fig.29 In-phase lift due to pitch. Planform 4. k = 1.0
Box-intagrotion mOthOdo + F~llock (514, MIS) v o'connaI\ (C17, M22) 0 1.occhko (C IO, M 1%)
x cjuiroui-Valt& (C 6 , M 9) Collueotion m4thods A o'tonnali (C17, Ma@
M
Fig.31 In-phase lift due to pitch. Planform 5 k = 4.0
B o x - I n t e g r a t i o n methods
0 LoschKO ( C l O . M l 9 )
x Guiraud-Vollok ( C 6 , M S )
Fig.30 Out-of-phase lift due to pitch. Planform 4. k = 1.0
Box integrat ion mrthods + Pollock V O'ConneH $:." Er?) 0 Lawhko (cd, MIS) X GwrauA-vaIl& (C6, M9)
A O'Conncll (Cl? MeO) Collocation methods
A 4 Arrwhmd wing
0 . 5
0.4
0;
0 . 3
I I
I I I
O P
f i
I
1 . 0 1.2 I '4 1.6 I 'e 2.0
M
Fig.32 Out-of-phase lift due to pitch. Planform 5 . k = 4.0
132
Fig.33 In-phase force in spanwise distortion mode due to chordwise distortion. Planform 1. M = 0.95
Fig.35 In-phase force in spanwise distortion mode due to chordwise distortion. Planform 3. M = 0
0 Loschko ( C 1 0 , M I I )
A Daniolli ( C S , Ha) v ROWQ ( c e , w 3 ) 0 z w a o n ( c 7 , U l l )
Elliptic winq M.0.95
-04
A
Fig.34 Out-of-phase force in spanwise distortion mode due to chordwise distortion. Planform 1.
M = 0.95
0 Loschka (cl0,nll)
A oanielli (CS. ne) v Raw, (ce,nz.) I3 L v o o o ( C 7 , M I I )
I I i i I
Fig.36 Out-of-phase force in spanwise distortion mode due to chordwise distortion. Planform 1.
M = O
I
i
i I I I
i
~
i i i
i I
I
I
I
,133
Box integration mothods B)krshko CI0,MIS >:Cuimud-VaIl& 66,M9\
R
Fig37 In-phase force, in spanwise distortion mode due to chordwise distortion. Planform 6. M = 2
Box-intogrotlon methods 0 Lniichko (ClO, M 16) Y Cuiraud -'/all& e6 ,He)
I
Fig.39 In-phase force in spainwise distortion mode due to chordwise distortion. Planform 4. M = 1.2
90" ;nbo3robion mebhod 0 Loschko (CIO. M I S ) X Cuiroud-Voll&e ( C e . n e )
M-2 (Supersonic edges)
I 3 a
Fig38 Out-of-phase force in spanwise distortion mode due to chordwise distortion. Planform 6.
M = 2
Fig.40 Out-of-phase force in spanwise distortion mode due to chordwise distortion. Planform 4.
M = 1.2
134
A z I . 4 5 Winq M-1.04 (subsonic edges) __ -0.14
0 0 s intogrot;on m e b h o d o + Pollock ( C l 4 , H l 6 )
0 O’Connell ( C I T , M 2 2 ) 0 Laschha ( C I 0 , U l S ) X Guiraud voII&e ( C 6 , He)
Collocobion m o t h o d e A O’COnnEl l (C17, H P O )
A = 4 Arrowhead winq M- 1.25 (.UbsoniC Icadinq edqr
-supersonic t ra i l in9 edqr)
Fig.41 In-phase force in spanwise distortion mode due to chordwise distortion. Planform 5. M = 1.25
Box intagration m o t h o d X C u ; r o u d - V o l i h e (C6 ,HB)
A 5 1 . 4 5 Wing
M = I . 0 4 (subsonic edqc)
I I I I 4
In-phase force in wing mode due to flap rotation. Planform 6. M = 1.04
Box Integrat ion mothods + Pollock v O’connall $E:::{ 0 Lnschka @ 10, MIS) X Cuimud-\ laI ILo (C6,MS)
Col locot ion mbthods
A .IS1 0 . IO*
A otonnoll (c I I , MZO)
A = 4 Arrowhmd wing M=l~25(sub.onic lrodiyl rdgc-suprronic lmiling e*)
0.10.
Fig.42 Out-of-phase force in spanwise distortion mode due to chordwise distortion. Planform 5.
M = 1.25
b
Fig.44 Out-of-phase force in wing mode due to flap rotation. Planform 6. M = 1.04
135
R
Box intogmtion m o t h e d l
X <ui*oud-Vol l& ( c 6 , M e )
- . 25
- 0 . e
- 0.1s
9 ‘is
-0.1
- 0 . 5
Box inbogration mothods
x Guiraud-Val lke ( C e . M S )
a
Fig.45 In-phase force in wing mode due to flap , Fig.46 Out-in-phase force in wing mode due to flap rotation. Planform 5;. M = 1.1 rotation. Planform 6. M = 1.1
Box i n t o g r a t i o n mothods Q Loschka @O,MIB)
X C u . i r o u d - \ b l l i o (56.M9)
AzI.45 Wing 7 M d . 2 (5ubronic leading @e-ruprraonic Wailing cdg.)
Fig.47 In-phase hinge moment. Planform 6. M = 1.2
Box intogrobion mathod 0 Lo-chko ( C I O . H l 9 )
X Cu i raud-Vo l lke ( C 6 , M S )
M=l.2 (subsonic leading ‘4 supersonic t r ’ ’
Fig.48 Out-of-phase hinge moment. Planform 6. M = 1.2
136
Box intagrotion mothods
0 Loschko (cl0,hlls) X Guiraud-u'allda (C6,M 9)
o'*6e 0,044 \ \ I
\ R I 1 Q:s-aa 0 . M
0'016
0.016
O.OS4
o-na
1 I I I I 0 I a s 4
Fig.49 In-phase hinge moment. Planform 5 . M = 1.25
O'LI 0.5 I .o Flop root Wing t i p
Eon intagratlon m a t h d m
(CIO,MI@ 0 L a s c h k a X Gui roud-Va lGa (CC, Me)
Fig50 Out-of-phase hinge moment. Planform 5 . M = 1.25
Fig.5 1 In-phase pitching moment due to flap Fig.52 Out-of-phase pitching moment due to flap rotation. Planform 2. M = 0.7806, k = 0.5 rotation. Planform 2. M = 0.7806, k = 0.5
(The "footnotes" quoted in these figures refer to the notes of Section 7.4 of the text.)
137
0
Flop root 4
Fig.53 In-phase hinge moment. Planform 2. Fig.54 Out-of-phase hinge moment. Planform 2. M = 0.7806, k = 0.5 M = 0.7806, k = 0.5
(The “footnotes” quoted in these figures refer to the notes of Section 7.4 of the text.)
139
MANUAL ON AEROELASTICITY
VOLUME I
VOLUME I1
VOLUME 111
VOLUDAE IV
VOLUME V
VOLUME VI
INTRODUCTORY SURVEY
PART I STRUCTURAL ASPECT'S
PART I1 AERODYNAMIC ASPECTS
PART I11 PREDICTION O F AEROELASTIC PHENOMENA
PART IV EXPERIMENTAL METHODS
PART V FACTUAL INFORMATION ON FLUTTER CHARACTERISTICS
PART VI COLLECTED TABLES AND GRAPHS
General Editor R.Mazet
i CONTENTS OF VOLUME I
W.J.Duncan Introductory Survey
PART I - STRUCTURAL ASPECT'S
CHAPTER 1 W.S.Hemp Analytical Representation of the Deformation of Structures
CHAPTER 2 J.M.Hedgepeth Vibration Analysis of Aircraft Structures
CHAPTER 3 B.M.Fraeijs de Influence of Internal Damping on Veubeke Aircraft Resonance
CHAPTER 4 ONERA Staff Theory of Ground Vibration Testing
CHAPTER 5 D.Benun The Influence of Powered Controls
CHAPTER 6 D.L.Woodcock Structural Non-Linearities
CHAPTER 7 B.A.Boley Thermoelasticit y ( A revision o f the original chapter by R.L.Bisplinghoff, Aug.1959)
CHAPTER 8 H.N.Abramson Liquid Propellant Dynamics
CONTENTS O F VOLUME 11
PART I1 - AER0:DYNAMIC ASPECTS
CHAPTER 1 1.E.Garrick General' Introduction
CHAPTER 2 A.I. van der Vooren Two-Dimensional Linearized Theory
Aug. 1959*
Aug. 1959
Aug. I959
Nov. I959
May 1960
Aug.1959
Apr. 1960
Feb. 1 968
Dec. 1967
June 1960
July 1960
* The dates given relzte to the acceptance of the manuscript by AGARD
140
CHAPTER 3
CHAPTER 4
CHAPTER 5
CHAPTER 6
CHAPTER 7
CHAPTER 8
CHAPTER 9
CHAPTER 10
CHAPTER 1 1
D.E.Williams
D.E.Davies
C.E.Watkins
H.Lomax
D.L.Woodcock
Three-Dimensional Subsonic Theory
Three-Dimensional Sonic Theory
Three-Dimensional Supersonic Theory
Indicia1 Aerodynamics
Slender-Body Theory Revision
Non-Stationary Theory of Airfoils of Finite Thickness in Incompressible Flow
Thickness and Boundary-Layer Effects
Jan. 196 1
Nov. 1960
Nov. 1960
Nov. 1960
Apr. 1962 Nov. 1967
Dec. 1960
Mar. 1969
H.G.Kussner
M.T.Landah1 and H.Ashley
( A revision of the original chapter by H.Ashley and G.Zartarian, Nov.1960)
W.E.A.Acum The Comparison of Theory and Experiment for Oscillating Wings
P.R.Guyet t Empirical Values of Derivatives
May 1962
Mar. 196 1
Feb. 1963 Sep. 1967
Nov. 1963
Aug. 1964
Apr. 1963 Sep. 1967
Nov. 1967
Apr. 1962
Nov. 196 1
Feb: 196 1
May 1969
July 1968
Sep. 1967
Sep. 1967
CONTENTS O F VOLUME 111
PART 111 - PREDICTION O F AEROELASTIC PHENOMENA
CHAPTER 1 E.G.Broadbent An Introduction to the Prediction of Aemelastic Phenomena Revision
CHAPTER 2 F.W.Diederich Divergence and Related Static Aeroelastic Phenomena
CHAPTER 3
CHAPTER 4
F.W.Diederich
E.G.Broadbent
Loss of Control
Flutter and Response Calculations in Practice Revision
Supplement to CHAPTER 4
H.G.Kussner Flutter Calculations as Automatic Processes
CHAPTER 5 J.C.A.Baldock and L.T.Niblett
Diagnosis and Cure of Flutter Troubles
CHAPTER 6 A.I. van der Vooren General Dynamic Stability of Systems with Many Degrees of Freedom
A Summary of the Theories and Experiments on Panel Flutter
CHAPTER 7 Y .C.B.Fung
Supplement to CHAPTER 7
D.J.Johns A Panel Flutter Review
CHAPTER 8 H.Lazennec The Effect of Structural Deformation on the Behaviour in Flight of a Servo-Control in Association with an Automatic Pilot
CHAPTER 9
CHAPTER 10
W.H.Reed
N.D.Ham
Propeller-Rotor Whirl Flutter
Helicopter Blade Flutter
141
CONTENTS O F VOLUME IV
PART IV - EXPERIMENTAL METHODS
CHAPTER 1
CHAPTER 2
CHAPTER 3
CHAPTER 4
CHAPTER 5
CHAPTER 6
CHAPTER 7
CHAPTER 8
CHAPTER 9
CHAPTER 10
D.J.Martin and T.Lauten
Measurement of Structural Influence Coefficients Oct. 196 1
Dec. 196 1
Feb. 1 96 1
June 1964
Jan. 196 1
Nov. 1960
Jan. 1 96 1
Jan. 1 96 1
Jan. 196 1
Dec. 196 I
R.C.Lewis and D.L.Wrisley
Ground Resonance Testing
Measurement of Inertia and Structural Damping
H.Gauzy
J.C.Hall Experimental Techniques for the Measurement of Power Control Impedance
Wind Tunnel Techniques for the Measurement of Oscillatory Derivatives
Similarity Requirements for Flutter Model Testing
J.B.Bratt
C.Scruton and N.C.Lam bourne
L.S.Wassernaan and W.J.Mykytow
Model Construction
L.S.Wassemnan and W .J.M y k:y to w
Wind Tunnel Flutter Tests
W.G.Molynwx Rocket Sled, Ground-Launched Rocket and Free-Falling Bomb Facilities
M.O.W.Wolfe and W.T.Kirkby
Flight Flutter Tests
CONTENTS O F VOLUME V
PART V .- FACTUAL INFORLMATION ON FLUTTER CHARACTERISTICS
CHAPTER. 1 K.A.Foss Divergence and Reversal of Control Feb. 1960
Feb. 1960
Feb. 1960
CHAPTER: 2 D.R.Gaukroger Wing Flutter
CHAPTER. 3 A.A.Regier Flutter of Control Surfaces and Tabs
CHAPTER. 4 A.D.N.Smi1:h Flutter of Powered Controls and of All-Moving Tailplanes
CHAPTER! 5 N .C.Lamba urne Flutter in One Degree of Freedom Revision
Apr. 1960
Aug. 1960 Feb. 1968
CHAPTER 6 W.G.Molyneux Approximate Formulae for Flutter Prediction Apr. I960
CONTENTS O F VOLUME VI
PART VI - COLLECTED TABLES AND GRAPHS
A.I. van der Vooren The Theodorsen Circulation Function. Aerodynamic Coefficients Jan. 1964
[continued 1
142
AGARD REPORT SERIES
Report No.573 G.Piazzoli Aetoelastic Test Methods, Experimental Techniques
Report No.574 R.Dat Bibliography of Documents Containing Numerical Data on Planar Lifting Surfaces
Report No. 578 E.C.Pike Manual on Aeroelasticity: Subject and Author Index
Report No.583 D.L.Woodcock A Comparison of Methods Used in Lifting Surface Theory
Published Dec. 1970
Published Aug. 1970
Published Jan. 1971
Present report
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